Please use this identifier to cite or link to this item: https://doi.org/10.1007/s002110100387
DC FieldValue
dc.titleError bounds for the finite element approximation of an incompressible material in an unbounded domain
dc.contributor.authorBao, W.
dc.contributor.authorHan, H.
dc.date.accessioned2014-10-28T03:11:42Z
dc.date.available2014-10-28T03:11:42Z
dc.date.issued2003-01
dc.identifier.citationBao, 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
dc.identifier.issn0029599X
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/104778
dc.description.abstractIn 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.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1007/s002110100387
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentCOMPUTATIONAL SCIENCE
dc.description.doi10.1007/s002110100387
dc.description.sourcetitleNumerische Mathematik
dc.description.volume93
dc.description.issue3
dc.description.page415-444
dc.identifier.isiut000180900500002
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