Algebraic Multilevel Methods for Large Scale Multiphysics Problems

Erwin Schrödinger Fellowship J 1915 Algebraic Multilevel Methods Johannes KRAUS 08.05.2000 This project deals with the development and exploration of new algebraic multilevel preconditioners and algebraic multigrid (AMG) methods for large sparse matrix problems in multiphysics applications. The major issues are the development of effective (parallel) grid-coarsening strategies for unstructuredgrid problems, the development of efficient smoothers, and an adaptation of certain methods to nonsymmetric problems. Special emphasis is put on the elaboration of robust and scalable algorithms. Apart from theoretical investigations I also intend to implement the derived algorithms on a multiprocessor supercomputer and to perform a scalability analysis. Some application studies in the area of fluiddynamics, e.g., convection dominated flow problems, and elastomechanics, especially thin-body elasticity problems, will round off the project work.