Convergence of a penalty-finite element approximation for an obstacle problem
dc.contributor.author | Kikuchi, Noboru | en_US |
dc.date.accessioned | 2006-09-11T17:38:10Z | |
dc.date.available | 2006-09-11T17:38:10Z | |
dc.date.issued | 1981-02 | en_US |
dc.identifier.citation | Kikuchi, Noboru; (1981). "Convergence of a penalty-finite element approximation for an obstacle problem." Numerische Mathematik 37(1): 105-120. <http://hdl.handle.net/2027.42/46320> | en_US |
dc.identifier.issn | 0945-3245 | en_US |
dc.identifier.issn | 0029-599X | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/46320 | |
dc.description.abstract | This study establishes an error estimate for a penalty-finite element approximation of the variational inequality obtained by a class of obstacle problems. By special identification of the penalty term, we first show that the penalty solution converges to the solution of a mixed formulation of the variational inequality. The rate of convergence of the penalization is ɛ where ɛ is the penalty parameter. To obtain the error of finite element approximation, we apply the results obtained by Brezzi, Hager and Raviart for the mixed finite element method to the variational inequality. | en_US |
dc.format.extent | 625177 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Springer-Verlag | en_US |
dc.subject.other | AMS(MOS): 65N30 | en_US |
dc.subject.other | Mathematical Methods in Physics | en_US |
dc.subject.other | Mathematics, General | en_US |
dc.subject.other | Numerical Analysis | en_US |
dc.subject.other | Mathematical and Computational Physics | en_US |
dc.subject.other | Numerical and Computational Methods | en_US |
dc.subject.other | Appl.Mathematics/Computational Methods of Engineering | en_US |
dc.subject.other | CR: 5.17 | en_US |
dc.subject.other | Mathematics | en_US |
dc.title | Convergence of a penalty-finite element approximation for an obstacle problem | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | The University of Michigan, 48109, Ann Arbor, Michigan, USA | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/46320/1/211_2005_Article_BF01396189.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF01396189 | en_US |
dc.identifier.source | Numerische Mathematik | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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