A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation

Document Type

Article

Publication Date

1-1-2012

Abstract

This paper presents a new non-overlapping domain decomposition method for the Helmholtz equation, whose effective convergence is quasi-optimal. These improved properties result from a combination of an appropriate choice of transmission conditions and a suitable approximation of the Dirichlet to Neumann operator. A convergence theorem of the algorithm is established and numerical results validating the new approach are presented in both two and three dimensions. © 2011 Elsevier Inc.

Identifier

81455141257 (Scopus)

Publication Title

Journal of Computational Physics

External Full Text Location

https://doi.org/10.1016/j.jcp.2011.08.007

e-ISSN

10902716

ISSN

00219991

First Page

262

Last Page

280

Issue

2

Volume

231

Grant

DMS-1016405

Fund Ref

National Science Foundation

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