A Schwarz alternating algorithm for a three-dimensional exterior harmonic problem with prolate spheroid boundary

Luo, Xiaopeng; Du, Qikui; Huang, Hongying; He, Tianshu

doi:10.1016/j.camwa.2013.02.004

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Convergence Of the Algorithm1

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Cited by 5 publications

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“…Similar to the proofs given in Yu ( 1994 , 2002 ); Luo et al. ( 2013 ) we can show the following result.…”

Section: Convergence Of the Algorithmsupporting

confidence: 87%

Schwarz alternating methods for anisotropic problems with prolate spheroid boundaries

Dai

Liu

2016

SpringerPlus

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The Schwarz alternating algorithm, which is based on natural boundary element method, is constructed for solving the exterior anisotropic problem in the three-dimension domain. The anisotropic problem is transformed into harmonic problem by using the coordinate transformation. Correspondingly, the algorithm is also changed. Continually, we analysis the convergence and the error estimate of the algorithm. Meanwhile, we give the contraction factor for the convergence. Finally, some numerical examples are computed to show the efficiency of this algorithm.

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“…Similar to the proofs given in Yu ( 1994 , 2002 ); Luo et al. ( 2013 ) we can show the following result.…”

Section: Convergence Of the Algorithmsupporting

confidence: 87%