DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kwak, Do Young | ko |
dc.contributor.author | Kim, KY | ko |
dc.date.accessioned | 2013-03-02T21:10:43Z | - |
dc.date.available | 2013-03-02T21:10:43Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2000-11 | - |
dc.identifier.citation | SIAM JOURNAL ON NUMERICAL ANALYSIS, v.38, no.4, pp.1057 - 1072 | - |
dc.identifier.issn | 0036-1429 | - |
dc.identifier.uri | http://hdl.handle.net/10203/75529 | - |
dc.description.abstract | We consider covolume methods for the mixed formulations of quasi-linear second-order elliptic problems. Covolume methods for the mixed formulations of linear elliptic problem was rst considered by Russell [Rigorous Block-Centered Discretizations on Irregular Grids: Improved Simulation of Complex Reservoir Systems, Tech. report 3, Project Report, Reservoir Simulation Research Corporation, Tulsa, OK, 1995] and tested extensively in [ Cai et al., Comput. Geosci., 1( 1997), pp. 289-315], [Jones, A Mixed Finite Volume Element Method for Accurate Computation of Fluid Velocities in Porous Media, Ph. D. thesis, University of Colorado, Denver, 1995]. The analysis was carried out by Chou and Kwak [SIAM J. Numer. Anal., 37 (2000), pp. 758-771] for linear symmetric problems, where they showed optimal error estimates in L-2 norm for the pressure and in H ( div) norm for the velocity. In this paper we extend their results to quasi-linear problems by following Milner's argument [Math. Comp., 44 (1985), pp. 303-320] through an adaptation of the duality argument of Douglas and Roberts [Math. Comp., 44 (1985), pp. 39-52] for mixed covolume methods. | - |
dc.language | English | - |
dc.publisher | SIAM PUBLICATIONS | - |
dc.subject | CENTERED FINITE-DIFFERENCES | - |
dc.subject | VOLUME ELEMENT METHOD | - |
dc.subject | CONSERVATION-LAWS | - |
dc.subject | CONVERGENCE | - |
dc.subject | GRIDS | - |
dc.subject | EQUATIONS | - |
dc.subject | SCHEMES | - |
dc.title | Mixed covolume methods for quasi-linear second-order elliptic problems | - |
dc.type | Article | - |
dc.identifier.wosid | 000165318700001 | - |
dc.identifier.scopusid | 2-s2.0-0346524797 | - |
dc.type.rims | ART | - |
dc.citation.volume | 38 | - |
dc.citation.issue | 4 | - |
dc.citation.beginningpage | 1057 | - |
dc.citation.endingpage | 1072 | - |
dc.citation.publicationname | SIAM JOURNAL ON NUMERICAL ANALYSIS | - |
dc.contributor.localauthor | Kwak, Do Young | - |
dc.contributor.nonIdAuthor | Kim, KY | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | mixed method | - |
dc.subject.keywordAuthor | covolume method | - |
dc.subject.keywordAuthor | quasi-linear elliptic problems | - |
dc.subject.keywordPlus | CENTERED FINITE-DIFFERENCES | - |
dc.subject.keywordPlus | VOLUME ELEMENT METHOD | - |
dc.subject.keywordPlus | CONSERVATION-LAWS | - |
dc.subject.keywordPlus | CONVERGENCE | - |
dc.subject.keywordPlus | GRIDS | - |
dc.subject.keywordPlus | EQUATIONS | - |
dc.subject.keywordPlus | SCHEMES | - |
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