Many important physical problems have a Hamiltonian structure and contain important symmetries and invariants. Preserving these structures in the numerical discretization and developing efficient numerical algorithms or this class of problems is a great challenge, but if successful, it generally results in superior (long time) numerical accuracy and stability. A focal point will be the analysis and development of numerical discretizations for various classes of wave problems, e.g. seismic and electromagnetic waves. A novel approach is to link the theory of port- Hamiltonian systems to discontinuous Galerkin finite element discretizations.
People working on this subject within SACS are:
Post Doc / PhD