×

zbMATH — the first resource for mathematics

Multigrid method for Maxwell’s equations. (English) Zbl 0922.65081
A multigrid method for Maxwell’s equations is presented. Under certain assumptions on the computational domain and the material functions, a rigorous proof of the asymptotic optimality of the multigrid method can be given. It is shown that convergence does not deteriorate on very fine grids. Numerical experiments confirm the efficiency of the method.

MSC:
65Z05 Applications to the sciences
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
35Q60 PDEs in connection with optics and electromagnetic theory
65M55 Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
78A25 Electromagnetic theory (general)
PDF BibTeX XML Cite
Full Text: DOI