Name
Abstract | ||
|---|---|---|
We study a nonoverlapping domain decomposition method for the harmonic Maxwell equations with a new kind of interface condition. Using Fourier analysis we derive suitable families of transmission conditions in R3 that involve second order tangential differential operators and that guarantee convergence for both propagative and evanescent modes. Such families depend upon parameters that are chosen to optimize the convergence rate of the corresponding iterative algorithm. We then propose iterative solvers for the Maxwell equations based on a domain decomposition procedure where such conditions are enforced on the interface. Some numerical results for a two-domain decomposition show the effectiveness of the optimized interface conditions. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1137/040608696 | SIAM J. Scientific Computing |
Keywords | Field | DocType |
guarantee convergence,corresponding iterative algorithm,optimized interface condition,fourier analysis,iterative solvers,nonoverlapping domain decomposition method,harmonic maxwell equation,convergence rate,domain decomposition procedure,new nonoverlapping domain decomposition,harmonic maxwell system,interface condition,domain decomposition methods | Boundary value problem,Mathematical optimization,Iterative method,Mathematical analysis,Rate of convergence,Numerical analysis,Partial differential equation,Maxwell's equations,Domain decomposition methods,Mathematics,Multigrid method | Journal |
Volume | Issue | ISSN |
28 | 1 | 1064-8275 |
Citations | PageRank | References |
20 | 1.80 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ana Alonso | 1 | 65 | 17.55 |
| Luca Gerardo-Giorda | 2 | 36 | 4.96 |