Name
Title | ||
|---|---|---|
Choice of the perfectly matched layer boundary condition for frequency-domain Maxwell's equations solvers |
Abstract | ||
|---|---|---|
We show that the performance of frequency-domain solvers of Maxwell's equations is greatly affected by the kind of the perfectly matched layer (PML) used. In particular, we demonstrate that using the stretched-coordinate PML (SC-PML) results in significantly faster convergence speed than using the uniaxial PML (UPML). Such a difference in convergence behavior is explained by an analysis of the condition number of the coefficient matrices. Additionally, we develop a diagonal preconditioning scheme that significantly improves solver performance when UPML is used. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.jcp.2012.01.013 | J. Comput. Physics |
Keywords | Field | DocType |
coefficient matrix,convergence speed,equations solvers,layer boundary condition,solver performance,stretched-coordinate pml,convergence behavior,uniaxial pml,frequency-domain maxwell,frequency-domain solvers,diagonal preconditioning scheme,condition number,maxwell s equations,preconditioner,iterative methods,perfectly matched layer,finite element method | Perfectly matched layer,Boundary value problem,Mathematical optimization,Condition number,Preconditioner,Matrix (mathematics),Mathematical analysis,Finite element method,Solver,Mathematics,Maxwell's equations | Journal |
Volume | Issue | ISSN |
231 | 8 | 0021-9991 |
Citations | PageRank | References |
6 | 1.32 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Wonseok Shin | 1 | 24 | 1.70 |
| Shanhui Fan | 2 | 37 | 7.98 |