Vollantrag zu Partial Differential Equations - Modelling, Analysis, Numerical Methods and Optimization
Vollantrag zu Partial Differential Equations - Modelling, Analysis, Numerical Methods and Optimization
Karl Kunisch
(ORCID: 0000-0003-1113-7355)
Disciplines
Mathematics (100%)
Keywords
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Partial Differential Equations,
Modeling,
Analysis,
Optimization,
Numerical Methods
Many application problems coming from physics, chemistry, biology, or engineering sciences are described by mathematical models involving Partial Differential Equations (PDEs). Often such problems involve different kinds of nonsmooth structures (singularities, interfaces, inequality constraints, etc.). The mathematical treatment of the corresponding PDE-based models is crucial for the efficient solution of practical problems. There is a significant demand for highly qualified junior scientists with postgraduate education and experience in this area, in academia as well as in industry and commerce. The international research training group (IGDK) "Optimization and Numerical Analysis for Partial Differential Equations with Nonsmooth Structures" intends to meet this demand. The major goals of the proposed international research training group are: Transfer of cutting-edge research topics to the education of doctoral students. Development and investigation of novel methods in numerical treatment and optimization for problems involving PDEs and possessing nonsmooth structures. The involved institutions in Munich and Graz contribute to the joint research program through their internationally visible scientific strengths: The Technische Universität München has long range experience in the analytical and numerical treatment of nonlinear phenomena, where the institutes in Graz contribute their expertise in optimization, variational calculus, and numerical analysis. The combination of these expertise will result in high synergy effects which shall be highlighted and exploited by this international research training group: Methodological approaches ranging from adaptivity and nonsmooth optimization to the treatment of interfaces and shapes will enter in the research and study program of the proposed international research training group. Our concept for a successful education of doctoral students will be based upon bilateral supervision, mentoring, and performance control. Simultaneously we shall encourage doctoral students to early scientific independence. The study program consisting of lectures, compact courses, and summer schools will provide the knowledge of state-of- the art methods for numerical analysis and optimization of problems governed by PDEs.
Consortium
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consortium member (01.03.2012 - 31.08.2021)
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consortium member (01.03.2012 - 31.08.2021)
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consortium member (01.03.2012 - 31.08.2021)
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consortium member (01.03.2012 - 31.08.2021)
Research institution(s)
- Universität Graz
- Technische Universität Graz
Project participants
- Olaf Steinbach, Technische Universität Graz , associated research partner
Research Output
- 7612 Citations
- 316 Publications
Publications
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2007
Title Adaptive SpaceTime Finite Element Methods for Parabolic Optimization Problems DOI 10.1137/060648994 Type Journal Article Author Meidner D Journal SIAM Journal on Control and Optimization Pages 116-142 Link Publication -
2007
Title Adaptive Finite Element Methods for PDE-Constrained Optimal Control Problems DOI 10.1007/978-3-540-28396-6_8 Type Book Chapter Author Becker R Publisher Springer Nature Pages 177-205 -
2016
Title Invisible Control of Self-Organizing Agents Leaving Unknown Environments DOI 10.1137/15m1017016 Type Journal Article Author Albi G Journal SIAM Journal on Applied Mathematics Pages 1683-1710 Link Publication -
2016
Title Optimal Control of the Undamped Linear Wave Equation with Measure Valued Controls DOI 10.1137/141001366 Type Journal Article Author Kunisch K Journal SIAM Journal on Control and Optimization Pages 1212-1244 Link Publication -
2016
Title On the Stabilizability of the Burgers Equation by Receding Horizon Control DOI 10.1137/15m1030352 Type Journal Article Author Azmi B Journal SIAM Journal on Control and Optimization Pages 1378-1405 Link Publication -
2016
Title Biological transportation networks: Modeling and simulation DOI 10.1142/s0219530515400059 Type Journal Article Author Albi G Journal Analysis and Applications Pages 185-206 -
2016
Title Game Channels for Trustless Off-Chain Interactions in Decentralized Virtual Worlds DOI 10.5195/ledger.2016.15 Type Journal Article Author Kraft D Journal Ledger Pages 84-98 Link Publication -
2016
Title Quasi-steady-state approximation and numerical simulation for a volume-surface reaction-diffusion system DOI 10.4310/cms.2016.v14.n6.a5 Type Journal Article Author Fellner K Journal Communications in Mathematical Sciences Pages 1553-1580 Link Publication -
2016
Title On generalized Poisson–Nernst–Planck equations with inhomogeneous boundary conditions: a-priori estimates and stability DOI 10.1002/mma.4140 Type Journal Article Author Kovtunenko V Journal Mathematical Methods in the Applied Sciences Pages 2284-2299 Link Publication -
2016
Title A convex analysis approach to optimal controls with switching structure for partial differential equations DOI 10.1051/cocv/2015017 Type Journal Article Author Clason C Journal ESAIM: Control, Optimisation and Calculus of Variations Pages 581-609 Link Publication -
2016
Title Proof search and Co-NP completeness for many-valued logics DOI 10.1016/j.fss.2015.02.016 Type Journal Article Author Bongini M Journal Fuzzy Sets and Systems Pages 130-149 -
2017
Title Trend to Equilibrium for Reaction-Diffusion Systems Arising from Complex Balanced Chemical Reaction Networks DOI 10.1137/16m1073935 Type Journal Article Author Desvillettes L Journal SIAM Journal on Mathematical Analysis Pages 2666-2709 Link Publication -
2017
Title Generalized Play Hysteresis Operators in Limits of Fast-Slow Systems DOI 10.1137/17m1110584 Type Journal Article Author Kuehn C Journal SIAM Journal on Applied Dynamical Systems Pages 1650-1685 Link Publication -
2017
Title Mean-Field Pontryagin Maximum Principle DOI 10.1007/s10957-017-1149-5 Type Journal Article Author Bongini M Journal Journal of Optimization Theory and Applications Pages 1-38 Link Publication -
2017
Title Geometric constraints in descent methods for shape optimisation DOI 10.1051/m2an/2017020 Type Journal Article Author Kraft D Journal ESAIM: Mathematical Modelling and Numerical Analysis Pages 2193-2212 Link Publication -
2017
Title Sparse Control of Multiagent Systems DOI 10.1007/978-3-319-49996-3_5 Type Book Chapter Author Bongini M Publisher Springer Nature Pages 173-228 -
2017
Title Harmonic Mean Iteratively Reweighted Least Squares for Low-Rank Matrix Recovery DOI 10.1109/sampta.2017.8024466 Type Conference Proceeding Abstract Author Kümmerle C Pages 489-493 Link Publication -
2017
Title Close-to-equilibrium regularity for reaction–diffusion systems DOI 10.1007/s00028-017-0422-2 Type Journal Article Author Tang B Journal Journal of Evolution Equations Pages 845-869 Link Publication -
2017
Title Error estimates for the postprocessing approach applied to Neumann boundary control problems in polyhedral domains DOI 10.1093/imanum/drx059 Type Journal Article Author Apel T Journal IMA Journal of Numerical Analysis Pages 1984-2025 -
2017
Title Sparse Optimal Control of the KdV-Burgers Equation on a Bounded Domain DOI 10.1137/15m1020745 Type Journal Article Author Boulanger A Journal SIAM Journal on Control and Optimization Pages 3673-3706 -
2017
Title Global existence and Hadamard differentiability of hysteresis reaction–diffusion systems DOI 10.1007/s00028-017-0419-x Type Journal Article Author Münch C Journal Journal of Evolution Equations Pages 777-803 -
2017
Title Entropy Methods and Convergence to Equilibrium for Volume-Surface Reaction-Diffusion Systems DOI 10.1007/978-3-319-66839-0_8 Type Book Chapter Author Fellner K Publisher Springer Nature Pages 153-176 -
2015
Title Application of optimal control to the cardiac defibrillation problem using a physiological model of cellular dynamics DOI 10.1016/j.apnum.2015.01.006 Type Journal Article Author Chamakuri N Journal Applied Numerical Mathematics Pages 130-139 Link Publication -
2015
Title Local mesh refinement for the discretization of Neumann boundary control problems on polyhedra DOI 10.1002/mma.3566 Type Journal Article Author Apel T Journal Mathematical Methods in the Applied Sciences Pages 1206-1232 -
2015
Title On the finite time blow-up for filtration problems with nonlinear reaction DOI 10.1016/j.aml.2014.11.006 Type Journal Article Author Fellner K Journal Applied Mathematics Letters Pages 47-52 Link Publication -
2015
Title Nonadiabatic nuclear dynamics of the ammonia cation studied by surface hopping classical trajectory calculations DOI 10.1063/1.4913962 Type Journal Article Author Belyaev A Journal The Journal of Chemical Physics Pages 104307 Link Publication -
2015
Title A discontinuous Poisson–Boltzmann equation with interfacial jump: homogenisation and residual error estimate DOI 10.1080/00036811.2015.1105962 Type Journal Article Author Fellner K Journal Applicable Analysis Pages 2661-2682 Link Publication -
2015
Title Duality and entropy methods for reversible reaction-diffusion equations with degenerate diffusion DOI 10.1002/mma.3407 Type Journal Article Author Desvillettes L Journal Mathematical Methods in the Applied Sciences Pages 3432-3443 -
2015
Title Isogeometric mortar methods DOI 10.1016/j.cma.2014.09.012 Type Journal Article Author Brivadis E Journal Computer Methods in Applied Mechanics and Engineering Pages 292-319 Link Publication -
2015
Title A Gautschi time-stepping approach to optimal control of the wave equation DOI 10.1016/j.apnum.2014.12.001 Type Journal Article Author Kunisch K Journal Applied Numerical Mathematics Pages 55-76 Link Publication -
2015
Title Frustrated Ferromagnetic Spin Chains: A Variational Approach to Chirality Transitions DOI 10.1007/s00332-015-9230-4 Type Journal Article Author Cicalese M Journal Journal of Nonlinear Science Pages 291-313 Link Publication -
2015
Title The Benefits of Anisotropic Mesh Adaptation for Brittle Fractures Under Plane-Strain Conditions DOI 10.1007/978-3-319-06053-8_3 Type Book Chapter Author Artina M Publisher Springer Nature Pages 43-67 -
2015
Title Artifact-Free Variational MPEG Decompression DOI 10.1007/978-3-319-18461-6_18 Type Book Chapter Author Bredies K Publisher Springer Nature Pages 216-228 -
2017
Title Constrained Optimization with Low-Rank Tensors and Applications to Parametric Problems with PDEs DOI 10.1137/16m1057607 Type Journal Article Author Garreis S Journal SIAM Journal on Scientific Computing -
2017
Title Linearly constrained evolutions of critical points and an application to cohesive fractures DOI 10.1142/s0218202517500014 Type Journal Article Author Artina M Journal Mathematical Models and Methods in Applied Sciences Pages 231-290 Link Publication -
2017
Title Discretising the Herman–Kluk propagator DOI 10.1007/s00211-017-0871-0 Type Journal Article Author Lasser C Journal Numerische Mathematik Pages 119-157 -
2017
Title Optimal control problems in transport dynamics DOI 10.1142/s0218202517500063 Type Journal Article Author Bongini M Journal Mathematical Models and Methods in Applied Sciences Pages 427-451 Link Publication -
2017
Title Inferring interaction rules from observations of evolutive systems I: The variational approach DOI 10.1142/s0218202517500208 Type Journal Article Author Bongini M Journal Mathematical Models and Methods in Applied Sciences Pages 909-951 Link Publication -
2016
Title Error estimates for Neumann boundary control problems with energy regularization DOI 10.1515/jnma-2015-0072 Type Journal Article Author Apel T Journal Journal of Numerical Mathematics Pages 207-233 -
2016
Title Self-consistent gradient flow for shape optimization DOI 10.1080/10556788.2016.1171864 Type Journal Article Author Kraft D Journal Optimization Methods and Software Pages 790-812 Link Publication -
2016
Title Nonlinear residual minimization by iteratively reweighted least squares DOI 10.1007/s10589-016-9829-x Type Journal Article Author Sigl J Journal Computational Optimization and Applications Pages 755-792 Link Publication -
2014
Title Space–time DG methods for the coupled electro–mechanical activation of the human heart DOI 10.1002/pamm.201410400 Type Journal Article Author Karabelas E Journal PAMM Pages 839-840 -
2014
Title Measure Valued Directional Sparsity for Parabolic Optimal Control Problems DOI 10.1137/140959055 Type Journal Article Author Kunisch K Journal SIAM Journal on Control and Optimization Pages 3078-3108 -
2014
Title Coupled Finite And Boundary Element Methods for Fluid-Solid Interaction Eigenvalue Problems DOI 10.1137/13093755x Type Journal Article Author Kimeswenger A Journal SIAM Journal on Numerical Analysis Pages 2400-2414 Link Publication -
2014
Title Nested Newton Strategies for Energy-Corrected Finite Element Methods DOI 10.1137/130935392 Type Journal Article Author Ru¨De U Journal SIAM Journal on Scientific Computing -
2014
Title Optimal A Priori Error Estimates for an Elliptic Problem with Dirac Right-Hand Side DOI 10.1137/130927619 Type Journal Article Author Ko¨Ppl T Journal SIAM Journal on Numerical Analysis Pages 1753-1769 -
2014
Title A Semismooth Newton Method with Multidimensional Filter Globalization for $l_1$-Optimization DOI 10.1137/120892167 Type Journal Article Author Milzarek A Journal SIAM Journal on Optimization Pages 298-333 -
2014
Title Energy-Corrected Finite Element Methods for Corner Singularities DOI 10.1137/120871377 Type Journal Article Author Egger H Journal SIAM Journal on Numerical Analysis Pages 171-193 -
2014
Title Local well-posedness of a class of hyperbolic PDE–ODE systems on a bounded interval DOI 10.1142/s0219891614500222 Type Journal Article Author Peralta G Journal Journal of Hyperbolic Differential Equations Pages 705-747 -
2014
Title Finite element error estimates on the boundary with application to optimal control DOI 10.1090/s0025-5718-2014-02862-7 Type Journal Article Author Apel T Journal Mathematics of Computation Pages 33-70 Link Publication -
2014
Title Stepping into Fully GPU Accelerated Biomedical Applications DOI 10.1007/978-3-662-43880-0_1 Type Book Chapter Author Costa C Publisher Springer Nature Pages 3-14 -
2014
Title The bang-bang property of time optimal controls for the Burgers equation DOI 10.3934/dcds.2014.34.3611 Type Journal Article Author Kunisch K Journal Discrete and Continuous Dynamical Systems Pages 3611-3637 Link Publication -
2014
Title Mean-field sparse optimal control DOI 10.1098/rsta.2013.0400 Type Journal Article Author Fornasier M Journal Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences Pages 20130400 Link Publication -
2014
Title Graded Meshes in Optimal Control for Elliptic Partial Differential Equations: An Overview DOI 10.1007/978-3-319-05083-6_18 Type Book Chapter Author Apel T Publisher Springer Nature Pages 285-302 -
2014
Title Dynamics of stochastic three dimensional Navier–Stokes–Voigt equations on unbounded domains DOI 10.1016/j.jmaa.2014.05.003 Type Journal Article Author Tang Q Journal Journal of Mathematical Analysis and Applications Pages 583-605 Link Publication -
2014
Title Fast Fourier transform for efficient evaluation of Newton potential in BEM DOI 10.1016/j.apnum.2014.02.010 Type Journal Article Author Steinbach O Journal Applied Numerical Mathematics Pages 1-14 -
2014
Title Distributed control design with local model information and guaranteed stability DOI 10.3182/20140824-6-za-1003.00917 Type Journal Article Author Deroo F Journal IFAC Proceedings Volumes Pages 4010-4017 -
2014
Title Three-dimensional tool design for steady-state electrochemical machining by continuous adjoint-based shape optimization DOI 10.1016/j.ces.2013.11.040 Type Journal Article Author Lu J Journal Chemical Engineering Science Pages 198-210 -
2014
Title Coupled Finite and Boundary Element Methods for Vibro-Acoustic Interface Problems DOI 10.1007/978-3-319-05789-7_48 Type Book Chapter Author Kimeswenger A Publisher Springer Nature Pages 507-515 -
2014
Title Classical and all-floating FETI methods for the simulation of arterial tissues DOI 10.1002/nme.4674 Type Journal Article Author Augustin C Journal International Journal for Numerical Methods in Engineering Pages 290-312 Link Publication -
2014
Title Superconvergence for Neumann boundary control problems governed by semilinear elliptic equations DOI 10.1007/s10589-014-9718-0 Type Journal Article Author Krumbiegel K Journal Computational Optimization and Applications Pages 373-408 -
2014
Title Quasi-classical description of molecular dynamics based on Egorov's theorem DOI 10.1063/1.4891517 Type Journal Article Author Keller J Journal The Journal of Chemical Physics Pages 054104 Link Publication -
2014
Title Simulation of floating potentials in industrial applications by boundary element methods DOI 10.1186/2190-5983-4-13 Type Journal Article Author Amann D Journal Journal of Mathematics in Industry Pages 13 Link Publication -
2014
Title On Computation of the Shape Hessian of the Cost Functional Without Shape Sensitivity of the State Variable DOI 10.1007/s10957-013-0520-4 Type Journal Article Author Kasumba H Journal Journal of Optimization Theory and Applications Pages 779-804 -
2014
Title Goal oriented adaptivity in the IRGNM for parameter identification in PDEs: II. all-at-once formulations DOI 10.1088/0266-5611/30/4/045002 Type Journal Article Author Kaltenbacher B Journal Inverse Problems Pages 045002 Link Publication -
2014
Title Petrov-Galerkin Crank-Nicolson Scheme for Parabolic Optimal Control Problems on Nonsmooth Domains DOI 10.1007/978-3-319-05083-6_26 Type Book Chapter Author Flaig T Publisher Springer Nature Pages 421-435 -
2014
Title Anisotropic Adaptive Meshes for Brittle Fractures: Parameter Sensitivity DOI 10.1007/978-3-319-10705-9_29 Type Book Chapter Author Artina M Publisher Springer Nature Pages 293-301 -
2014
Title Landau–Zener type surface hopping algorithms DOI 10.1063/1.4882073 Type Journal Article Author Belyaev A Journal The Journal of Chemical Physics Pages 224108 Link Publication -
2014
Title Riemannian methods for optimization in a shape space of triangular meshes DOI 10.1080/17415977.2014.980243 Type Journal Article Author Kniely M Journal Inverse Problems in Science and Engineering Pages 1011-1039 -
2014
Title Adjoint based optimal control of partially miscible two-phase flow in porous media with applications to CO2 sequestration in underground reservoirs DOI 10.1007/s11081-014-9270-x Type Journal Article Author Simon M Journal Optimization and Engineering Pages 103-130 -
2014
Title Hagedorn Wavepackets in Time-Frequency and Phase Space DOI 10.1007/s00041-014-9330-9 Type Journal Article Author Lasser C Journal Journal of Fourier Analysis and Applications Pages 679-714 -
2014
Title Many–Core Sustainability by Pragma Directives DOI 10.1007/978-3-662-43880-0_51 Type Book Chapter Author Kucher A Publisher Springer Nature Pages 448-456 -
2014
Title Domain decomposition methods for nonlinear transmission conditions DOI 10.1002/pamm.201410406 Type Journal Article Author Gsell M Journal PAMM Pages 851-852 Link Publication -
2014
Title An adaptive numerical method for semi-infinite elliptic control problems based on error estimates DOI 10.1080/10556788.2014.932789 Type Journal Article Author Merino P Journal Optimization Methods and Software Pages 492-515 -
2016
Title Optimal Control of a Linear Unsteady Fluid–Structure Interaction Problem DOI 10.1007/s10957-016-0930-1 Type Journal Article Author Failer L Journal Journal of Optimization Theory and Applications Pages 1-27 -
2016
Title One-phase flow in porous media with hysteresis DOI 10.1016/j.physb.2015.08.039 Type Journal Article Author Botkin N Journal Physica B: Condensed Matter Pages 183-186 -
2015
Title Erste Hilfe in Linearer Algebra DOI 10.1007/978-3-642-41627-9 Type Book Author Deiser O Publisher Springer Nature -
2015
Title Minimal Time Problem with Impulsive Controls DOI 10.1007/s00245-015-9324-2 Type Journal Article Author Kunisch K Journal Applied Mathematics & Optimization Pages 75-97 -
2015
Title Measure-Theoretic Properties of Level Sets of Distance Functions DOI 10.1007/s12220-015-9648-9 Type Journal Article Author Kraft D Journal The Journal of Geometric Analysis Pages 2777-2796 -
2015
Title The singular values of the GOE DOI 10.1142/s2010326315500094 Type Journal Article Author Bornemann F Journal Random Matrices: Theory and Applications Pages 1550009 -
2015
Title Regularity of random attractors for stochastic reaction-diffusion equations on unbounded domains DOI 10.1142/s0219493716500064 Type Journal Article Author Tang B Journal Stochastics and Dynamics Pages 1650006 -
2015
Title A TGV-Based Framework for Variational Image Decompression, Zooming, and Reconstruction. Part II: Numerics DOI 10.1137/15m1023877 Type Journal Article Author Bredies K Journal SIAM Journal on Imaging Sciences Pages 2851-2886 Link Publication -
2015
Title Data assimilation for hyperbolic conservation laws: A Luenberger observer approach based on a kinetic description DOI 10.4310/cms.2015.v13.n3.a1 Type Journal Article Author Boulanger A Journal Communications in Mathematical Sciences Pages 587-622 Link Publication -
2015
Title Sparse control of alignment models in high dimension DOI 10.3934/nhm.2015.10.647 Type Journal Article Author Bongini M Journal Networks and Heterogeneous Media Pages 647-697 Link Publication -
2015
Title Weak differentiability of scalar hysteresis operators DOI 10.3934/dcds.2015.35.2405 Type Journal Article Author Brokate M Journal Discrete and Continuous Dynamical Systems Pages 2405-2421 Link Publication -
2015
Title Regularity of pullback random attractors for stochastic FitzHugh-Nagumo system on unbounded domains DOI 10.3934/dcds.2015.35.441 Type Journal Article Author Tang B Journal Discrete and Continuous Dynamical Systems Pages 441-466 Link Publication -
2015
Title Sparse initial data identification for parabolic PDE and its finite element approximations DOI 10.3934/mcrf.2015.5.377 Type Journal Article Author Casas E Journal Mathematical Control and Related Fields Pages 377-399 Link Publication -
2015
Title Difficulty control for blockchain-based consensus systems DOI 10.1007/s12083-015-0347-x Type Journal Article Author Kraft D Journal Peer-to-Peer Networking and Applications Pages 397-413 -
2015
Title A TGV-Based Framework for Variational Image Decompression, Zooming, and Reconstruction. Part I: Analytics DOI 10.1137/15m1023865 Type Journal Article Author Bredies K Journal SIAM Journal on Imaging Sciences Pages 2814-2850 Link Publication -
2015
Title Damping Noise-Folding and Enhanced Support Recovery in Compressed Sensing DOI 10.1109/tsp.2015.2461521 Type Journal Article Author Peter S Journal IEEE Transactions on Signal Processing Pages 5990-6002 Link Publication -
2015
Title Reduced Basis Methods for Pricing Options with the Black--Scholes and Heston Models DOI 10.1137/140981216 Type Journal Article Author Burkovska O Journal SIAM Journal on Financial Mathematics Pages 685-712 Link Publication -
2015
Title A Semismooth Newton-CG Method for Constrained Parameter Identification in Seismic Tomography DOI 10.1137/140968331 Type Journal Article Author Boehm C Journal SIAM Journal on Scientific Computing -
2015
Title Anisotropic Mesh Adaptation for Crack Detection In Brittle Materials DOI 10.1137/140970495 Type Journal Article Author Artina M Journal SIAM Journal on Scientific Computing Link Publication -
2015
Title Finite Element Discretization of State-Constrained Elliptic Optimal Control Problems with Semilinear State Equation DOI 10.1137/140960645 Type Journal Article Author Neitzel I Journal SIAM Journal on Control and Optimization Pages 874-904 -
2015
Title A Proximal Gradient Method for Ensemble Density Functional Theory DOI 10.1137/14098973x Type Journal Article Author Ulbrich M Journal SIAM Journal on Scientific Computing -
2015
Title A Self-Concordant Interior Point Approach for Optimal Control with State Constraints DOI 10.1137/130936671 Type Journal Article Author Kruse F Journal SIAM Journal on Optimization Pages 770-806 -
2015
Title Performance and Scalability of Hierarchical Hybrid Multigrid Solvers for Stokes Systems DOI 10.1137/130941353 Type Journal Article Author Gmeiner B Journal SIAM Journal on Scientific Computing -
2015
Title Distributed Stability Tests for Large-Scale Systems With Limited Model Information DOI 10.1109/tcns.2015.2401191 Type Journal Article Author Deroo F Journal IEEE Transactions on Control of Network Systems Pages 298-309 Link Publication -
2015
Title Stability and Boundary Controllability of a Linearized Model of Flow in an Elastic Tube DOI 10.1051/cocv/2014039 Type Journal Article Author Peralta G Journal ESAIM: Control, Optimisation and Calculus of Variations Pages 583-601 Link Publication -
2015
Title The Influence of Quadrature Errors on Isogeometric Mortar Methods DOI 10.1007/978-3-319-23315-4_2 Type Book Chapter Author Brivadis E Publisher Springer Nature Pages 33-50 -
2015
Title A posteriori error estimation for the fractional step theta discretization of the incompressible Navier–Stokes equations DOI 10.1016/j.cma.2014.11.031 Type Journal Article Author Meidner D Journal Computer Methods in Applied Mechanics and Engineering Pages 45-59 -
2015
Title Time optimal control of the monodomain model in cardiac electrophysiology DOI 10.1093/imamat/hxv010 Type Journal Article Author Kunisch K Journal IMA Journal of Applied Mathematics Pages 1664-1683 Link Publication -
2015
Title Optimal feedback control for undamped wave equations by solving a HJB equation*** DOI 10.1051/cocv/2014033 Type Journal Article Author Kröner A Journal ESAIM: Control, Optimisation and Calculus of Variations Pages 442-464 Link Publication -
2015
Title (Un)conditional consensus emergence under perturbed and decentralized feedback controls DOI 10.3934/dcds.2015.35.4071 Type Journal Article Author Bongini M Journal Discrete and Continuous Dynamical Systems Pages 4071-4094 Link Publication -
2015
Title Uniform convergence of the POD method and applications to optimal control DOI 10.3934/dcds.2015.35.4477 Type Journal Article Author Kunisch K Journal Discrete and Continuous Dynamical Systems Pages 4477-4501 Link Publication -
2014
Title Parallel Finite Volume Method Simulation of Three-Dimensional Fluid Flow and Convective Heat Transfer for Viscoplastic Non-Newtonian Fluids DOI 10.1080/10407782.2014.894387 Type Journal Article Author Vasco D Journal Numerical Heat Transfer, Part A: Applications Pages 990-1019 -
2014
Title Sparse stabilization of dynamical systems driven by attraction and avoidance forces DOI 10.3934/nhm.2014.9.1 Type Journal Article Author Bongini M Journal Networks and Heterogeneous Media Pages 1-31 Link Publication -
2014
Title Asymptotic Behavior of Gradient Flows Driven by Nonlocal Power Repulsion and Attraction Potentials in One Dimension DOI 10.1137/140951497 Type Journal Article Author Di Francesco M Journal SIAM Journal on Mathematical Analysis Pages 3814-3837 Link Publication -
2014
Title On Infimal Convolution of TV-Type Functionals and Applications to Video and Image Reconstruction DOI 10.1137/130948793 Type Journal Article Author Holler M Journal SIAM Journal on Imaging Sciences Pages 2258-2300 Link Publication -
2014
Title Boundary control of bidomain equations with state-dependent switching source functions in the ionic model DOI 10.1016/j.jcp.2014.05.017 Type Journal Article Author Chamakuri N Journal Journal of Computational Physics Pages 227-242 Link Publication -
2014
Title Riccati-Based Feedback Control of the Monodomain Equations With the Fitzhugh--Nagumo Model DOI 10.1137/140964552 Type Journal Article Author Breiten T Journal SIAM Journal on Control and Optimization Pages 4057-4081 Link Publication -
2014
Title Numerical Methods for a Kohn–Sham Density Functional Model Based on Optimal Transport DOI 10.1021/ct500586q Type Journal Article Author Chen H Journal Journal of Chemical Theory and Computation Pages 4360-4368 Link Publication -
2014
Title Quasi-linear Compressed Sensing DOI 10.1137/130929928 Type Journal Article Author Ehler M Journal Multiscale Modeling & Simulation Pages 725-754 Link Publication -
2014
Title Parameter Choice Strategies for Multipenalty Regularization DOI 10.1137/130930248 Type Journal Article Author Fornasier M Journal SIAM Journal on Numerical Analysis Pages 1770-1794 -
2014
Title Boundary element methods for parabolic boundary control problems DOI 10.1216/jie-2014-26-1-53 Type Journal Article Author Phan T Journal Journal of Integral Equations and Applications Pages 53-90 Link Publication -
2014
Title Improved Duality Estimates and Applications to Reaction-Diffusion Equations DOI 10.1080/03605302.2013.829500 Type Journal Article Author Cañizo J Journal Communications in Partial Differential Equations Pages 1185-1204 Link Publication -
2014
Title Multi-bang control of elliptic systems DOI 10.1016/j.anihpc.2013.08.005 Type Journal Article Author Clason C Journal Annales de l'Institut Henri Poincare (C) Non Linear Analysis Pages 1109-1130 Link Publication -
2014
Title High Precision Identification of an Object: Optimality-Conditions-Based Concept of Imaging DOI 10.1137/13091172x Type Journal Article Author Kovtunenko V Journal SIAM Journal on Control and Optimization Pages 773-796 Link Publication -
2014
Title Existence Analysis for a Model Describing Flow of an Incompressible Chemically Reacting Non-Newtonian Fluid DOI 10.1137/130927589 Type Journal Article Author Buli´C?Ek M Journal SIAM Journal on Mathematical Analysis Pages 3223-3240 -
2014
Title Optimal Control of Semilinear Elliptic Equations in Measure Spaces DOI 10.1137/13092188x Type Journal Article Author Casas E Journal SIAM Journal on Control and Optimization Pages 339-364 Link Publication -
2014
Title Optimal Control with $L^p(\Omega)$, $p\in [0,1)$, Control Cost DOI 10.1137/120896529 Type Journal Article Author Ito K Journal SIAM Journal on Control and Optimization Pages 1251-1275 Link Publication -
2014
Title Anisotropic mesh refinement in polyhedral domains: error estimates with data in L2(O) DOI 10.1051/m2an/2013134 Type Journal Article Author Apel T Journal ESAIM: Mathematical Modelling and Numerical Analysis Pages 1117-1145 Link Publication -
2014
Title New regularity results and improved error estimates for optimal control problems with state constraints* DOI 10.1051/cocv/2013084 Type Journal Article Author Casas E Journal ESAIM: Control, Optimisation and Calculus of Variations Pages 803-822 Link Publication -
2014
Title Robust operator estimates and the application to substructuring methods for first-order systems DOI 10.1051/m2an/2014006 Type Journal Article Author Wieners C Journal ESAIM: Mathematical Modelling and Numerical Analysis Pages 1473-1494 Link Publication -
2014
Title Sparse stabilization and control of alignment models DOI 10.1142/s0218202515400059 Type Journal Article Author Caponigro M Journal Mathematical Models and Methods in Applied Sciences Pages 521-564 Link Publication -
2014
Title A Hopf-Lax Formula for the Level-Set Equation and Applications to PDE-Constrained Shape Optimisation DOI 10.1109/mmar.2014.6957404 Type Conference Proceeding Abstract Author Kraft D Pages 498-503 Link Publication -
2014
Title Mean-Field Optimal Control DOI 10.1051/cocv/2014009 Type Journal Article Author Fornasier M Journal ESAIM: Control, Optimisation and Calculus of Variations Pages 1123-1152 Link Publication -
2014
Title An energy space finite element approach for elliptic Dirichlet boundary control problems DOI 10.1007/s00211-014-0653-x Type Journal Article Author Of G Journal Numerische Mathematik Pages 723-748 Link Publication -
2014
Title Regularization of linear inverse problems with total generalized variation DOI 10.1515/jip-2013-0068 Type Journal Article Author Bredies K Journal Journal of Inverse and Ill-posed Problems Pages 871-913 Link Publication -
2014
Title Cnoidal Waves on Fermi–Pasta–Ulam Lattices DOI 10.1007/s10884-013-9343-0 Type Journal Article Author Friesecke G Journal Journal of Dynamics and Differential Equations Pages 627-652 -
2014
Title Energy-Corrected Finite Element Methods for Scalar Elliptic Problems DOI 10.1007/978-3-319-10705-9_2 Type Book Chapter Author Horger T Publisher Springer Nature Pages 19-36 -
2014
Title Corrections to Wigner type phase space methods DOI 10.1088/0951-7715/27/12/2951 Type Journal Article Author Gaim W Journal Nonlinearity Pages 2951-2974 Link Publication -
2014
Title Goal-Oriented Error Estimation for the Fractional Step Theta Scheme DOI 10.1515/cmam-2014-0002 Type Journal Article Author Meidner D Journal Computational Methods in Applied Mathematics Pages 203-230 -
2014
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Title Linearly Constrained Nonsmooth and Nonconvex Minimization DOI 10.1137/120869079 Type Journal Article Author Artina M Journal SIAM Journal on Optimization Pages 1904-1937 -
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Title A DRIFT–DIFFUSION–REACTION MODEL FOR EXCITONIC PHOTOVOLTAIC BILAYERS: ASYMPTOTIC ANALYSIS AND A 2D HDG FINITE ELEMENT SCHEME DOI 10.1142/s0218202512500625 Type Journal Article Author Brinkman D Journal Mathematical Models and Methods in Applied Sciences Pages 839-872 Link Publication -
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Title A Reduced Basis Method for the Simulation of American Options DOI 10.1007/978-3-642-33134-3_85 Type Book Chapter Author Haasdonk B Publisher Springer Nature Pages 821-829 -
2012
Title An abstract framework for a priori estimates for contact problems in 3D with quadratic finite elements DOI 10.1007/s00466-012-0704-z Type Journal Article Author Wohlmuth B Journal Computational Mechanics Pages 735-747 -
2012
Title Numerical simulation for a two-phase porous medium flow problem with rate independent hysteresis DOI 10.1016/j.physb.2011.06.048 Type Journal Article Author Brokate M Journal Physica B: Condensed Matter Pages 1336-1339 -
2012
Title Primal-dual methods for the computation of trading regions under proportional transaction costs DOI 10.1007/s00186-012-0416-3 Type Journal Article Author Herzog R Journal Mathematical Methods of Operations Research Pages 101-130 -
2012
Title Fast Boundary Element Methods in Engineering and Industrial Applications DOI 10.1007/978-3-642-25670-7 Type Book Publisher Springer Nature -
2009
Title Goal-oriented error control of the iterative solution of finite element equations DOI 10.1515/jnum.2009.009 Type Journal Article Author Meidner D Journal Journal of Numerical Mathematics Pages 143-172 -
2019
Title Stabilisation by noise on the boundary for a Chafee-Infante equation with dynamical boundary conditions DOI 10.3934/dcdsb.2019050 Type Journal Article Author Fellner K Journal Discrete and Continuous Dynamical Systems - B Pages 4055-4078 Link Publication -
2019
Title Duck traps: two-dimensional critical manifolds in planar systems DOI 10.1080/14689367.2019.1575337 Type Journal Article Author Kuehn C Journal Dynamical Systems Pages 584-612 Link Publication -
2018
Title Convergence to equilibrium of renormalised solutions to nonlinear chemical reaction–diffusion systems DOI 10.1007/s00033-018-0948-3 Type Journal Article Author Fellner K Journal Zeitschrift für angewandte Mathematik und Physik Pages 54 Link Publication -
2018
Title Finite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficients DOI 10.3934/mcrf.2018017 Type Journal Article Author Trautmann P Journal Mathematical Control and Related Fields Pages 411-449 Link Publication -
2018
Title Energy corrected FEM for optimal Dirichlet boundary control problems DOI 10.1007/s00211-018-0952-8 Type Journal Article Author John L Journal Numerische Mathematik Pages 913-938 -
2018
Title On the entropy method and exponential convergence to equilibrium for a recombination–drift–diffusion system with self-consistent potential DOI 10.1016/j.aml.2017.12.017 Type Journal Article Author Fellner K Journal Applied Mathematics Letters Pages 196-204 Link Publication -
2018
Title Second order optimality conditions for optimal control of quasilinear parabolic equations DOI 10.3934/mcrf.2018001 Type Journal Article Author Bonifacius L Journal Mathematical Control and Related Fields Pages 1-34 Link Publication -
2018
Title Frequency-sparse optimal quantum control DOI 10.3934/mcrf.2018007 Type Journal Article Author Friesecke G Journal Mathematical Control and Related Fields Pages 155-176 Link Publication -
2018
Title Calibration to American options: numerical investigation of the de-Americanization method DOI 10.1080/14697688.2017.1417622 Type Journal Article Author Burkovska O Journal Quantitative Finance Pages 1091-1113 Link Publication -
2018
Title On the semi-global stabilizability of the Korteweg-de Vries Equation via model predictive control? DOI 10.1051/cocv/2017001 Type Journal Article Author Azmi B Journal ESAIM: Control, Optimisation and Calculus of Variations Pages 237-263 Link Publication -
2018
Title Maximum norm error estimates for Neumann boundary value problems on graded meshes DOI 10.1093/imanum/dry076 Type Journal Article Author Apel T Journal IMA Journal of Numerical Analysis Pages 474-497 -
2018
Title Fractional operators with inhomogeneous boundary conditions: analysis, control, and discretization DOI 10.4310/cms.2018.v16.n5.a11 Type Journal Article Author Antil H Journal Communications in Mathematical Sciences Pages 1395-1426 Link Publication -
2018
Title Modeling, identification, and optimization of violin bridges DOI 10.1002/pamm.201800405 Type Journal Article Author Marschke S Journal PAMM Link Publication -
2018
Title Preconditioned Space-Time Boundary Element Methods for the One-Dimensional Heat Equation DOI 10.1007/978-3-319-93873-8_22 Type Book Chapter Author Dohr S Publisher Springer Nature Pages 243-251 -
2020
Title Finite element error estimates for one-dimensional elliptic optimal control by BV-functions DOI 10.3934/mcrf.2019041 Type Journal Article Author Hafemeyer D Journal Mathematical Control and Related Fields Pages 333-363 Link Publication -
2019
Title Convergence of discrete and continuous unilateral flows for Ambrosio–Tortorelli energies and application to mechanics DOI 10.1051/m2an/2018057 Type Journal Article Author Almi S Journal ESAIM: Mathematical Modelling and Numerical Analysis Pages 659-699 -
2019
Title Strong stability of linear parabolic time-optimal control problems? DOI 10.1051/cocv/2017079 Type Journal Article Author Bonifacius L Journal ESAIM: Control, Optimisation and Calculus of Variations Pages 1 -
2019
Title A parallel space–time boundary element method for the heat equation DOI 10.1016/j.camwa.2018.12.031 Type Journal Article Author Dohr S Journal Computers & Mathematics with Applications Pages 2852-2866 Link Publication -
2019
Title A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Time-Optimal Control Problems DOI 10.1137/18m1166948 Type Journal Article Author Bonifacius L Journal SIAM Journal on Control and Optimization Pages 129-162 Link Publication -
2019
Title Maximum Norm Estimates for Energy-Corrected Finite Element Method DOI 10.1007/978-3-319-96415-7_92 Type Book Chapter Author Swierczynski P Publisher Springer Nature Pages 973-981 -
2019
Title Total generalized variation regularization for multi-modal electron tomography DOI 10.1039/c8nr09058k Type Journal Article Author Huber R Journal Nanoscale Pages 5617-5632 Link Publication -
2019
Title An application of sparse measure valued Bayesian inversion to acoustic sound source identification DOI 10.1088/1361-6420/ab1497 Type Journal Article Author Engel S Journal Inverse Problems Pages 075005 -
2019
Title Error Estimates for Space-Time Discretization of Parabolic Time-Optimal Control Problems with Bang-Bang Controls DOI 10.1137/18m1213816 Type Journal Article Author Bonifacius L Journal SIAM Journal on Control and Optimization Pages 1730-1756 Link Publication -
2019
Title New Optimal Control Problems in Density Functional Theory Motivated by Photovoltaics DOI 10.1137/18m1207272 Type Journal Article Author Friesecke G Journal Multiscale Modeling & Simulation Pages 926-947 Link Publication -
2019
Title Analysis of Boundary Effects on PDE-Based Sampling of Whittle--Matérn Random Fields DOI 10.1137/18m1215700 Type Journal Article Author Khristenko U Journal SIAM/ASA Journal on Uncertainty Quantification Pages 948-974 Link Publication -
2018
Title Analysis and numerical solution of coupled volume-surface reaction-diffusion systems with application to cell biology DOI 10.1016/j.amc.2018.04.031 Type Journal Article Author Egger H Journal Applied Mathematics and Computation Pages 351-367 Link Publication -
2018
Title A bilevel approach for parameter learning in inverse problems DOI 10.1088/1361-6420/aade77 Type Journal Article Author Holler G Journal Inverse Problems Pages 115012 Link Publication -
2018
Title Well-posedness and exponential equilibration of a volume-surface reaction–diffusion system with nonlinear boundary coupling DOI 10.1016/j.anihpc.2017.07.002 Type Journal Article Author Fellner K Journal Annales de l'Institut Henri Poincaré C, Analyse non linéaire Pages 643-673 Link Publication -
2018
Title Receding horizon control for the stabilization of the wave equation DOI 10.3934/dcds.2018021 Type Journal Article Author Azmi B Journal Discrete and Continuous Dynamical Systems Pages 449-484 Link Publication -
2018
Title Global classical solutions to reaction-diffusion systems in one and two dimensions DOI 10.4310/cms.2018.v16.n2.a5 Type Journal Article Author Tang B Journal Communications in Mathematical Sciences Pages 411-423 Link Publication -
2018
Title Optimal control of reaction-diffusion systems with hysteresis? DOI 10.1051/cocv/2018025 Type Journal Article Author Münch C Journal ESAIM: Control, Optimisation and Calculus of Variations Pages 1453-1488 Link Publication -
2018
Title Adaptive time-step control for nonlinear fluid–structure interaction DOI 10.1016/j.jcp.2018.04.021 Type Journal Article Author Failer L Journal Journal of Computational Physics Pages 448-477 -
2025
Title A Novel Interpretation of the Radon Transform’s Ray and Pixel-Driven Discretizations Under Balanced Resolutions DOI 10.1007/978-3-031-92366-1_11 Type Book Chapter Author Huber R Publisher Springer Nature Pages 132-145 -
2023
Title Convergence of Pixel-Driven Discretizations of Projection Operators DOI 10.1109/nssmicrtsd49126.2023.10338450 Type Conference Proceeding Abstract Author Huber R Pages 1-1 -
2021
Title Convergence Analysis of Pixel-Driven Radon and Fanbeam Transforms DOI 10.1137/20m1326635 Type Journal Article Author Bredies K Journal SIAM Journal on Numerical Analysis Pages 1399-1432 Link Publication