A least-squares fem-bem coupling method for linear elasticity

被引：1

作者：

Maischak, M. ^{[1
]}

Oestmann, S. ^{[2
]}

Stephan, E. P. ^{[2
]}

机构：

[1] Brunel Univ, BICOM, Uxbridge UB8 3PH, Middx, England

[2] Leibniz Univ Hannover, Inst Angew Math, D-30167 Hannover, Germany

来源：

APPLIED NUMERICAL MATHEMATICS | 2012年 / 62卷 / 04期

关键词：

Fem-bem coupling; Least-squares method; Transmission problems; ONE INNER-PRODUCT; INCOMPRESSIBLE ELASTICITY; BOUNDARY ELEMENTS; FINITE-ELEMENTS; MIXED-FEM; EQUATIONS; FORMULATION; SYSTEMS; STOKES;

D O I：

10.1016/j.apnum.2011.12.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a least-squares formulation of a second order transmission problem for linear elasticity. The problem in the unbounded exterior domain is rewritten with boundary integral equations on the boundary of the inner domain. In the interior domain we treat a linear elastic material which can also be nearly incompressible. The least-squares functional is given in terms of the H-1 (Omega) and H-1/2 (Gamma) norms. These norms are realized by solution operators of corresponding dual norm problems which are approximated using multilevel preconditioners. (C) 2011 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：457 / 472

页数：16

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[3]

Berndt M., 1997, Electron. Trans. Numer. Anal., V6, P35

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