Click on a theme or a project in the table below for more information.
Subproject MSV1.5: HP-Adaptive Finite Element Methods for the Maxwell Equations
Subproject leader
Prof.dr.ir. J.J.W. van der Vegt (UT)
Research description
This project will focus on the development of efficient
finite element algorithms for the Maxwell equations, in
particular discontinuous Galerkin finite element methods
suitable for hp-adaptation. The algorithms will be
implemented in an Object Oriented computer program under
development in the chair NACM. Special emphasis will be put
on the design of higher order finite elements, anisotropic
and non-linear materials, stable and accurate (semi-implicit)
time integration methods (the so-called time domain modeling)
and preconditioning for iterative eigenvalue solvers
(frequency domain modeling). The time domain and frequency
domain frameworks are intimately related to each other
through a common spatial discretization; in both cases the
efficient solution of the arising linear systems is crucial
for achieving a high computational efficiency.
Research questions:
- Construction of variable order discontinuous Galerkin finite elements for the Maxwell equations, which are suitable for hp-adaptation, satisfy the necessary div-curl constraints, and allow for anisotropic and non-linear materials.
- Development of stable and accurate, yet feasible time integration schemes for the Maxwell equations, which provide minimal dispersion and dissipation errors for electromagnetic waves.
- Development of efficient preconditioning for iterative eigenvalue and linear system solvers which are suitable for the FEM discretizations of the Maxwell equations developed in this project.
- Parallel numerical algorithms for optimal performance on parallel computers.
Associate partners
MSV1.5 Researchers funded by BRICKS
- Prof.dr.ir. J.J.W. van der Vegt (UT)
- Dr. M.A. Botchev (UU)
- Drs. D. Sarmany (UT)
For more information, please refer to the publications and posters of this project.
|
