Non-overlapping domain decomposition algorithm based on modified transmission conditions for the Helmholtz equation

Document Type

Article

Publication Date

3-15-2018

Abstract

A square-root based transmission conditions domain decomposition method was recently introduced for the Helmholtz equation. It produces an effective algorithm where the convergence is independent of the wavenumber and the mesh discretization. We modify here these conditions in order to guarantee well-posedness of local problems and further improve the efficiency of the whole method. Numerical results, in particular in the three dimensional case, show significant reduction of the computational time needed in the iterative procedure while preserving the iteration number when compared with the original algorithm.

Identifier

85027408984 (Scopus)

Publication Title

Computers and Mathematics with Applications

External Full Text Location

https://doi.org/10.1016/j.camwa.2017.07.027

ISSN

08981221

First Page

1900

Last Page

1911

Issue

6

Volume

75

Grant

DMS-1319720

Fund Ref

National Science Foundation

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