Multilevel iterative solvers for the edge finite element solution of the 3D Maxwell equation

Share/Save/Bookmark

Nechaev, O.V. and Shurina, E.P. and Botchev, M.A. (2008) Multilevel iterative solvers for the edge finite element solution of the 3D Maxwell equation. Computers & Mathematics with Applications, 55 (10). pp. 2346-2362. ISSN 0898-1221

[img]PDF
Restricted to UT campus only
: Request a copy
719Kb
[img]PDF
Restricted to UT campus only
: Request a copy
571Kb
Abstract:In the edge vector finite element solution of the frequency domain Maxwell equations, the presence of a large kernel of the discrete rotor operator is known to ruin convergence of standard iterative solvers. We extend the approach of [R. Hiptmair, Multigrid method for Maxwell’s equations, SIAM J. Numer. Anal. 36 (1) (1999) 204–225] and, using domain decomposition ideas, construct a multilevel iterative solver where the projection with respect to the kernel is combined with the use of a hierarchical representation of the vector finite elements.

The new iterative scheme appears to be an efficient solver for the edge finite element solution of the frequency domain Maxwell equations. The solver can be seen as a variable preconditioner and, thus, accelerated by Krylov subspace techniques (e.g. GCR or FGMRES). We demonstrate the efficiency of our approach on a test problem with strong jumps in the conductivity.
Item Type:Article
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:
Link to this item:http://purl.utwente.nl/publications/62360
Official URL:http://dx.doi.org/10.1016/j.camwa.2007.11.003
Export this item as:BibTeX
EndNote
HTML Citation
Reference Manager

 

Repository Staff Only: item control page

Metis ID: 251009