A new family of mixed finite elements in IR3
Numerische Mathematik
Mathematics of Computation
Uniform convergence of multigrid V-cycle iterations for indefinite and nonsymmetric problems
SIAM Journal on Numerical Analysis - Special issue: the articles in this issue are dedicated to Seymour V. Parter
Multigrid computation of vector potentials
Journal of Computational and Applied Mathematics
Multigrid Method for Maxwell's Equations
SIAM Journal on Numerical Analysis
Multigrid
Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes
Numerische Mathematik
Finite Element Methods for Navier-Stokes Equations: Theory and Algorithms
Finite Element Methods for Navier-Stokes Equations: Theory and Algorithms
Hi-index | 7.29 |
In this paper we investigate the numerical solution for two-dimensional Maxwell's equations on graded meshes. The approach is based on the Hodge decomposition. The solution u of Maxwell's equations is approximated by solving standard second order elliptic problems. Quasi-optimal error estimates for both u and @?xu in the L"2 norm are obtained on graded meshes. We prove the uniform convergence of the W-cycle and full multigrid algorithms for the resulting discrete problem. The performance of these methods is illustrated by numerical results.