Please use this identifier to cite or link to this item: https://doi.org/10.1007/s002110100387
Title: Error bounds for the finite element approximation of an incompressible material in an unbounded domain
Authors: Bao, W. 
Han, H.
Issue Date: Jan-2003
Citation: Bao, W., Han, H. (2003-01). Error bounds for the finite element approximation of an incompressible material in an unbounded domain. Numerische Mathematik 93 (3) : 415-444. ScholarBank@NUS Repository. https://doi.org/10.1007/s002110100387
Abstract: In this paper we design high-order local artificial boundary conditions and present error bounds for the finite element approximation of an incompressible elastic material in an unbounded domain. The finite element approximation is formulated in a bounded computational domain using a nonlocal approximate artificial boundary condition or a local one. In fact there are a family of nonlocal approximate artificial boundary conditions with increasing accuracy (and computational cost) and a family of local ones for a given artificial boundary. Our error bounds indicate how the errors of the finite element approximations depend on the mesh size, the terms used in the approximate artificial boundary condition and the location of the artificial boundary. Numerical examples of an incompressible elastic material outside a circle in the plane is presented. Numerical results demonstrate the performance of our error bounds.
Source Title: Numerische Mathematik
URI: http://scholarbank.nus.edu.sg/handle/10635/104778
ISSN: 0029599X
DOI: 10.1007/s002110100387
Appears in Collections:Staff Publications

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