Numerical accuracy of a Padé‐type non‐reflecting boundary condition for the finite element solution of acoustic scattering problems at high‐frequency | Zendy

Kechroud R. | Zendy; Antoine X. | Zendy; Soulaïmani A. | Zendy

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Numerical accuracy of a Padé‐type non‐reflecting boundary condition for the finite element solution of acoustic scattering problems at high‐frequency

Author(s) -

Kechroud R.,

Antoine X.,

Soulaïmani A.

Publication year - 2005

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.1390

Subject(s) - finite element method , scattering , solver , computation , boundary value problem , mathematics , mathematical analysis , boundary element method , regular polygon , boundary (topology) , type (biology) , galerkin method , acoustics , geometry , mathematical optimization , algorithm , physics , structural engineering , optics , engineering , ecology , biology

The present text deals with the numerical solution of two‐dimensional high‐frequency acoustic scattering problems using a new high‐order and asymptotic Padé‐type artificial boundary condition. The Padé‐type condition is easy‐to‐implement in a Galerkin least‐squares (iterative) finite element solver for arbitrarily convex‐shaped boundaries. The method accuracy is investigated for different model problems and for the scattering problem by a submarine‐shaped scatterer. As a result, relatively small computational domains, optimized according to the shape of the scatterer, can be considered while yielding accurate computations for high‐frequencies. Copyright © 2005 John Wiley & Sons, Ltd.

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