A comparison of NRBCs for PUFEM in 2D Helmholtz problems at high wave numbers

O. Laghrouche; A. El-Kacimi; J. Trevelyan

doi:10.1016/j.cam.2009.08.014

A comparison of NRBCs for PUFEM in 2D Helmholtz problems at high wave numbers

O. Laghrouche, A. El-Kacimi, J. Trevelyan

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

In this work, exact and approximate non-reflecting boundary conditions (NRBCs) are implemented with the Partition of Unity Finite Element Method (PUFEM) to solve short wave scattering problems governed by the Helmholtz equation in two dimensions. By short wave problems, we mean situations in which the wavelength is a small fraction of the characteristic dimension of the scatterer. Various NRBCs are implemented and a comparison of their performance is carried out based on the accuracy of the results, ease of implementation and computational cost. The aim is to accurately model such problems in a reduced computational domain around the scatterer with fewer elements and without refining the mesh at each wave number. © 2009 Elsevier B.V.

Original language	English
Pages (from-to)	1670-1677
Number of pages	8
Journal	Journal of Computational and Applied Mathematics
Volume	234
Issue number	6
DOIs	https://doi.org/10.1016/j.cam.2009.08.014
Publication status	Published - 15 Aug 2010

Keywords

Finite elements
Helmholtz equation
Non-reflecting boundary conditions
Plane wave basis
Wave scattering

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10.1016/j.cam.2009.08.014

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abstract = "In this work, exact and approximate non-reflecting boundary conditions (NRBCs) are implemented with the Partition of Unity Finite Element Method (PUFEM) to solve short wave scattering problems governed by the Helmholtz equation in two dimensions. By short wave problems, we mean situations in which the wavelength is a small fraction of the characteristic dimension of the scatterer. Various NRBCs are implemented and a comparison of their performance is carried out based on the accuracy of the results, ease of implementation and computational cost. The aim is to accurately model such problems in a reduced computational domain around the scatterer with fewer elements and without refining the mesh at each wave number. {\textcopyright} 2009 Elsevier B.V.",

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AU - Laghrouche, O.

AU - El-Kacimi, A.

AU - Trevelyan, J.

PY - 2010/8/15

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AB - In this work, exact and approximate non-reflecting boundary conditions (NRBCs) are implemented with the Partition of Unity Finite Element Method (PUFEM) to solve short wave scattering problems governed by the Helmholtz equation in two dimensions. By short wave problems, we mean situations in which the wavelength is a small fraction of the characteristic dimension of the scatterer. Various NRBCs are implemented and a comparison of their performance is carried out based on the accuracy of the results, ease of implementation and computational cost. The aim is to accurately model such problems in a reduced computational domain around the scatterer with fewer elements and without refining the mesh at each wave number. © 2009 Elsevier B.V.

KW - Finite elements

KW - Helmholtz equation

KW - Non-reflecting boundary conditions

KW - Plane wave basis

KW - Wave scattering

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DO - 10.1016/j.cam.2009.08.014

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EP - 1677

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 6

ER -

A comparison of NRBCs for PUFEM in 2D Helmholtz problems at high wave numbers

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Keywords

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