An optimal domain decomposition preconditioner for low-frequency time-harmonic Maxwell equations
| Autor: | Ana Isabel Vela Alonso, Alberto Valli |
|---|---|
| Rok vydání: | 1999 |
| Předmět: |
Algebra and Number Theory
Partial differential equation Preconditioner Applied Mathematics Mathematical analysis Hilbert space Domain decomposition methods Computational Mathematics symbols.namesake Maxwell's equations Harmonic function Rate of convergence symbols Neumann boundary condition Mathematics |
| Zdroj: | Mathematics of Computation. 68:607-632 |
| ISSN: | 0025-5718 |
| DOI: | 10.1090/s0025-5718-99-01013-3 |
| Popis: | The time-harmonic Maxwell equations are considered in the low-frequency case. A finite element domain decomposition approach is proposed for the numerical approximation of the exact solution. This leads to an iteration-by-subdomain procedure, which is proven to converge. The rate of convergence turns out to be independent of the mesh size, showing that the preconditioner implicitly defined by the iterative procedure is optimal. For obtaining this convergence result it has been necessary to prove a regularity theorem for Dirichlet and Neumann harmonic fields. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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