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
- 7613 Citations
- 316 Publications
Publications
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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 -
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 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 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 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 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 -
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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 -
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 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 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 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 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 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 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 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 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 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 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 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 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 Distributed Estimation and Control DOI 10.1007/978-3-319-01131-8_3 Type Book Chapter Author Lohmann B Publisher Springer Nature Pages 81-110 -
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 -
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 -
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 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 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 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 -
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 -
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 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 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 -
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 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 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 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 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 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 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 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 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 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 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 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 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 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 -
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 -
2013
Title Optimal control of the bidomain system (III): Existence of minimizers and first-order optimality conditions DOI 10.1051/m2an/2012058 Type Journal Article Author Kunisch K Journal ESAIM: Mathematical Modelling and Numerical Analysis Pages 1077-1106 Link Publication -
2013
Title Time optimal control of the heat equation with pointwise control constraints*** DOI 10.1051/cocv/2012017 Type Journal Article Author Kunisch K Journal ESAIM: Control, Optimisation and Calculus of Variations Pages 460-485 Link Publication -
2013
Title Third order convergent time discretization for parabolic optimal control problems with control constraints DOI 10.1007/s10589-013-9580-5 Type Journal Article Author Springer A Journal Computational Optimization and Applications Pages 205-240 -
2013
Title N-density representability and the optimal transport limit of the Hohenberg-Kohn functional DOI 10.1063/1.4821351 Type Journal Article Author Friesecke G Journal The Journal of Chemical Physics Pages 164109 Link Publication -
2013
Title Boundary integral equations for Helmholtz boundary value and transmission problems DOI 10.1515/9783110282283.253 Type Book Chapter Author Steinbach O Publisher De Gruyter Pages 253-292 -
2013
Title Multipoint flux approximation L-method in 3D: numerical convergence and application to two-phase flow through porous media DOI 10.1515/9783110282245.39 Type Book Chapter Author Wolff M Publisher De Gruyter Pages 39-80 -
2013
Title Wigner Measure Propagation and Conical Singularity for General Initial Data DOI 10.1007/s00205-013-0622-z Type Journal Article Author Fermanian-Kammerer C Journal Archive for Rational Mechanics and Analysis Pages 209-236 -
2013
Title On Existence analysis of steady flows of generalized Newtonian fluids with concentration dependent power-law index DOI 10.1016/j.jmaa.2012.12.066 Type Journal Article Author Bulícek M Journal Journal of Mathematical Analysis and Applications Pages 157-166 Link Publication -
2013
Title Computation of the optimal value function in time-dependent networks DOI 10.1002/net.21501 Type Journal Article Author Kluge S Journal Networks Pages 105-124 -
2013
Title On the ellipticity of coupled finite element and one-equation boundary element methods for boundary value problems DOI 10.1007/s00211-013-0593-x Type Journal Article Author Of G Journal Numerische Mathematik Pages 567-593 -
2013
Title Parallel ADI Smoothers for Multigrid DOI 10.1109/dcabes.2013.25 Type Conference Proceeding Abstract Author Douglas C Pages 100-104 -
2013
Title Examining the analytic structure of Green’s functions: Massive parallel complex integration using GPUs DOI 10.1016/j.cpc.2012.09.003 Type Journal Article Author Windisch A Journal Computer Physics Communications Pages 109-116 Link Publication -
2013
Title Funktionentheorie DOI 10.1007/978-3-0348-0472-1 Type Book Author Bornemann F Publisher Springer Nature -
2013
Title Analytical solutions for the free surface hydrostatic Euler equations DOI 10.4310/cms.2013.v11.n4.a5 Type Journal Article Author Boulanger A Journal Communications in Mathematical Sciences Pages 993-1010 Link Publication -
2013
Title Error Analysis for a Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems DOI 10.1137/080735734 Type Journal Article Author May S Journal SIAM Journal on Control and Optimization Pages 2585-2611 -
2013
Title Joint distribution of the first and second eigenvalues at the soft edge of unitary ensembles DOI 10.1088/0951-7715/26/6/1799 Type Journal Article Author Witte N Journal Nonlinearity Pages 1799-1822 Link Publication -
2013
Title Advanced Finite Element Methods and Applications DOI 10.1007/978-3-642-30316-6 Type Book Publisher Springer Nature -
2013
Title MIXED FINITE ELEMENT METHODS: IMPLEMENTATION WITH ONE UNKNOWN PER ELEMENT, LOCAL FLUX EXPRESSIONS, POSITIVITY, POLYGONAL MESHES, AND RELATIONS TO OTHER METHODS DOI 10.1142/s0218202512500613 Type Journal Article Author Vohralík M Journal Mathematical Models and Methods in Applied Sciences Pages 803-838 Link Publication -
2013
Title Optimal control of ODE systems involving a rate independent variational inequality DOI 10.3934/dcdsb.2013.18.331 Type Journal Article Author Brokate M Journal Discrete and Continuous Dynamical Systems - B Pages 331-348 Link Publication -
2013
Title Quasi-optimal a priori estimates for fluxes in mixed finite element methods and an application to the Stokes–Darcy coupling DOI 10.1093/imanum/drs048 Type Journal Article Author Melenk J Journal Ima Journal of Numerical Analysis Pages 1-27 -
2013
Title Analysis of a kinematic dynamo model with FEM–BEM coupling DOI 10.1002/mma.2991 Type Journal Article Author Lemster W Journal Mathematical Methods in the Applied Sciences Pages 2484-2501 -
2013
Title Quasi-optimal A Priori Interface Error Bounds and A Posteriori Estimates for the Interior Penalty Method DOI 10.1137/120888405 Type Journal Article Author Waluga C Journal SIAM Journal on Numerical Analysis Pages 3259-3279 -
2013
Title Optimal A Priori Error Estimates of Parabolic Optimal Control Problems with Pointwise Control DOI 10.1137/120885772 Type Journal Article Author Leykekhman D Journal SIAM Journal on Numerical Analysis Pages 2797-2821 -
2013
Title Propagation of Quantum Expectations with Husimi Functions DOI 10.1137/120889186 Type Journal Article Author Keller J Journal SIAM Journal on Applied Mathematics Pages 1557-1581 Link Publication -
2013
Title Adaptive Regularized Self-Consistent Field Iteration with Exact Hessian for Electronic Structure Calculation DOI 10.1137/120894385 Type Journal Article Author Wen Z Journal SIAM Journal on Scientific Computing -
2013
Title A Priori Error Analysis for Discretization of Sparse Elliptic Optimal Control Problems in Measure Space DOI 10.1137/120889137 Type Journal Article Author Pieper K Journal SIAM Journal on Control and Optimization Pages 2788-2808 -
2013
Title A variational approach to sparsity optimization based on Lagrange multiplier theory DOI 10.1088/0266-5611/30/1/015001 Type Journal Article Author Ito K Journal Inverse Problems Pages 015001 Link Publication -
2012
Title A minimum effort optimal control problem for elliptic PDEs DOI 10.1051/m2an/2011074 Type Journal Article Author Clason C Journal ESAIM: Mathematical Modelling and Numerical Analysis Pages 911-927 Link Publication -
2012
Title On time optimal control of the wave equation, its regularization and optimality system* DOI 10.1051/cocv/2012010 Type Journal Article Author Kunisch K Journal ESAIM: Control, Optimisation and Calculus of Variations Pages 317-336 Link Publication -
2012
Title A multi-time stepping integration method for the ultrasound heating problem DOI 10.1002/zamm.201200023 Type Journal Article Author Shevchenko I Journal ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Pages 869-881 -
2012
Title Fast Boundary Element Methods in Engineering and Industrial Applications DOI 10.1007/978-3-642-25670-7 Type Book Publisher Springer Nature -
2012
Title Finite and Boundary Element Energy Approximations of Dirichlet Control Problems DOI 10.1007/978-3-642-25707-0_18 Type Book Chapter Author Of G Publisher Springer Nature Pages 219-231 -
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 Fast Boundary Element Methods for Industrial Applications in Magnetostatics DOI 10.1007/978-3-642-25670-7_4 Type Book Chapter Author Andjelic Z Publisher Springer Nature Pages 111-143 -
2012
Title On the stability of the non-symmetric BEM/FEM coupling in linear elasticity DOI 10.1007/s00466-012-0782-y Type Journal Article Author Steinbach O Journal Computational Mechanics Pages 421-430 -
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 -
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 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 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 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 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 -
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 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 -
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 -
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 -
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 -
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 -
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 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 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 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 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 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 -
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 -
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 -
2012
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2011
Title A Priori Error Estimates for Finite Element Discretizations of Parabolic Optimization Problems with Pointwise State Constraints in Time DOI 10.1137/100793888 Type Journal Article Author Meidner D Journal SIAM Journal on Control and Optimization Pages 1961-1997 -
2011
Title A Priori Error Analysis of the PetrovGalerkin CrankNicolson Scheme for Parabolic Optimal Control Problems DOI 10.1137/100809611 Type Journal Article Author Meidner D Journal SIAM Journal on Control and Optimization Pages 2183-2211 -
2011
Title A Smooth Regularization of the Projection Formula for Constrained Parabolic Optimal Control Problems DOI 10.1080/01630563.2011.597915 Type Journal Article Author Neitzel I Journal Numerical Functional Analysis and Optimization Pages 1283-1315 Link Publication -
2011
Title Sufficient optimality conditions and semi-smooth newton methods for optimal control of stationary variational inequalities DOI 10.1051/cocv/2011105 Type Journal Article Author Kunisch K Journal ESAIM: Control, Optimisation and Calculus of Variations Pages 520-547 Link Publication -
2011
Title Path-following for optimal control of stationary variational inequalities DOI 10.1007/s10589-011-9400-8 Type Journal Article Author Kunisch K Journal Computational Optimization and Applications Pages 1345-1373 -
2011
Title On linear-quadratic elliptic control problems of semi-infinite type DOI 10.1080/00036811.2010.489187 Type Journal Article Author Merino P Journal Applicable Analysis Pages 1047-1074 -
2011
Title Mathematical modeling and simulation of flow in domains separated by leaky semipermeable membrane including osmotic effect DOI 10.1007/s10492-011-0009-0 Type Journal Article Author Hron J Journal Applications of Mathematics Pages 51-68 Link Publication -
2011
Title Adaptive Space-Time Finite Element Methods for Parabolic Optimization Problems DOI 10.1007/978-3-0348-0133-1_18 Type Book Chapter Author Meidner D Publisher Springer Nature Pages 319-348 -
2008
Title On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints DOI 10.1051/cocv:2008038 Type Journal Article Author Neitzel I Journal ESAIM: Control, Optimisation and Calculus of Variations Pages 426-453 Link Publication -
2008
Title A Priori Error Analysis for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems DOI 10.1007/978-3-540-69777-0_77 Type Book Chapter Author Meidner D Publisher Springer Nature Pages 645-652 -
2008
Title A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints DOI 10.1137/070694028 Type Journal Article Author Meidner D Journal SIAM Journal on Control and Optimization Pages 1301-1329 -
2008
Title Strategies for time-dependent PDE control with inequality constraints using an integrated modeling and simulation environment DOI 10.1007/s11075-008-9225-4 Type Journal Article Author Neitzel I Journal Numerical Algorithms Pages 241-269 -
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 -
2010
Title On the Modeling of the Synovial Fluid DOI 10.1155/2010/104957 Type Journal Article Author Hron J Journal Advances in Tribology Pages 1-12 Link Publication -
2010
Title Regularization for semilinear elliptic optimal control problems with pointwise state and control constraints DOI 10.1007/s10589-010-9357-z Type Journal Article Author Krumbiegel K Journal Computational Optimization and Applications Pages 181-207 -
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 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 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 -
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 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 -
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 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 -
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 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 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 -
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 -
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 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 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 Erste Hilfe in Linearer Algebra DOI 10.1007/978-3-642-41627-9 Type Book Author Deiser O Publisher Springer Nature -
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 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 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 II: Numerics DOI 10.1137/15m1023877 Type Journal Article Author Bredies K Journal SIAM Journal on Imaging Sciences Pages 2851-2886 Link Publication