Name
Abstract | ||
|---|---|---|
We develop a fully scalable parallel implementation of an iterative solver for the time-harmonic Maxwell equations with vanishing wave numbers. We use a mixed finite element discretization on tetrahedral meshes, based on the lowest order Nedelec finite element pair of the first kind. We apply the block diagonal preconditioning approach of Greif and Schotzau (Numer. Linear Algebra Appl. 2007; 14(4):281297), and use the nodal auxiliary space preconditioning technique of Hiptmair and Xu (SIAM J. Numer. Anal. 2007; 45(6):24832509) as the inner iteration for the shifted curlcurl operator. Algebraic multigrid is employed to solve the resulting sequence of discrete elliptic problems. We demonstrate the performance of our parallel solver on problems with constant and variable coefficients. Our numerical results indicate good scalability with the mesh size on uniform, unstructured, and locally refined meshes. Copyright (c) 2011 John Wiley & Sons, Ltd. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1002/nla.782 | NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS |
Keywords | Field | DocType |
parallel iterative solvers,saddle-point linear systems,preconditioners,time-harmonic Maxwell equations | Discretization,Linear algebra,Mathematical optimization,Mathematical analysis,Electromagnetic field solver,Finite element method,Solver,Block matrix,Multigrid method,Mathematics,Maxwell's equations | Journal |
Volume | Issue | ISSN |
19 | 3 | 1070-5325 |
Citations | PageRank | References |
4 | 0.52 | 8 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dan Li | 1 | 4 | 0.52 |
| CHEN GREIF | 2 | 321 | 43.63 |
| Dominik Schötzau | 3 | 923 | 245.37 |