An overlapping domain decomposition dual reciprocity method. (English) Zbl 1050.65126
Summary: We present a domain decomposition boundary integral equation method for two-dimensional partial differential equations. The overlapping Schwarz method is employed to improve the dual reciprocity boundary element method. The resulting algorithm turns out to be more accurate than a non-overlapping approach previously proposed. Some numerical results showing the improved accuracy and efficiency of the methods are given.
MSC:
| 65N55 | Multigrid methods; domain decomposition for boundary value problems involving PDEs |
| 35J05 | Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation |
| 65N38 | Boundary element methods for boundary value problems involving PDEs |
Keywords:
Domain decomposition; Boundary integral equation; Dual reciprocity method; Overlapping Schwarz method; Poisson equation; Algorithm: Numerical resultsReferences:
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