Name
Abstract | ||
|---|---|---|
This paper is concerned with preconditioning the stiffness matrix resulting from finite element discretizations of Maxwell's equations in the high frequency regime. The moving PML sweeping preconditioner, first introduced for the Helmholtz equation on a Cartesian finite difference grid, is generalized to an unstructured mesh with finite elements. The method dramatically reduces the number of GMRES iterations necessary for convergence, resulting in an almost linear complexity solver. Numerical examples including electromagnetic cloaking simulations are presented to demonstrate the efficiency of the proposed method. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.jcp.2012.01.025 | J. Comput. Physics |
Keywords | Field | DocType |
finite element discretizations,finite element,cartesian finite difference grid,time-harmonic maxwell,electromagnetic cloaking simulation,linear complexity solver,high frequency regime,helmholtz equation,numerical example,pml sweeping preconditioner,maxwell s equations,finite element methods,frequency domain | Mathematical optimization,Preconditioner,Mathematical analysis,Finite difference,Extended finite element method,Electromagnetic field solver,Finite element method,Stiffness matrix,Maxwell's equations,Mathematics,Mixed finite element method | Journal |
Volume | Issue | ISSN |
231 | 9 | 0021-9991 |
Citations | PageRank | References |
5 | 0.48 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Paul Tsuji | 1 | 9 | 1.29 |
| Bjorn Engquist | 2 | 218 | 26.23 |
| Lexing Ying | 3 | 1273 | 103.92 |