Some numerical aspects of the PUFEM for efficient solution of 2D Helmholtz problems

被引：35

作者：

Mohamed, M. S. ^{[1
]}

Laghrouche, O. ^{[1
]}

El-Kacimi, A. ^{[1
]}

机构：

[1] Heriot Watt Univ, Sch Built Environm, Edinburgh EH14 4AS, Midlothian, Scotland

来源：

COMPUTERS & STRUCTURES | 2010年 / 88卷 / 23-24期

关键词：

Helmholtz equation; Finite elements; Plane wave enrichment; Wave scattering; Multiple scattering; WEAK VARIATIONAL FORMULATION; FINITE-ELEMENT-METHOD; PLANE-WAVE BASIS; MICROLOCAL DISCRETIZATION; ACOUSTIC SCATTERING; INTEGRATION SCHEME; EQUATION; PARTITION; FLUID;

D O I：

10.1016/j.compstruc.2010.01.012

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The Partition of Unity Finite Element Method is used to solve wave scattering problems governed by the Helmholtz equation involving one or more scatterers in two dimensions The method allows us to relax the traditional requirement of around ten nodal points per wavelength used in the Finite Element Method Therefore the elements are multi-wavelength sized and the mesh of the computational domain may be kept unchanged for increasing wave numbers As a result the total number of degrees of freedom is drastically reduced In this work various numerical aspects affecting the efficiency of the method are investigated by considering an interior Helmhlotz problem Those include the plane wave enrichment the h-refinement the geometry description and the conjugated or unconjugated type of formulation The method is then used to solve problems involving multiple scatterers Last an exterior scattering problem by a non-smooth rigid body is presented (C) 2010 Elsevier Ltd All rights reserved

引用

页码：1484 / 1491

页数：8

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