DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lee, Chang-Ock | ko |
dc.contributor.author | Park, Eun-Hee | ko |
dc.contributor.author | Park, Jongho | ko |
dc.date.accessioned | 2019-06-19T02:30:39Z | - |
dc.date.available | 2019-06-19T02:30:39Z | - |
dc.date.created | 2019-06-18 | - |
dc.date.created | 2019-06-18 | - |
dc.date.created | 2019-06-18 | - |
dc.date.created | 2019-06-18 | - |
dc.date.issued | 2019-03 | - |
dc.identifier.citation | SIAM JOURNAL ON SCIENTIFIC COMPUTING, v.41, no.2, pp.B205 - B228 | - |
dc.identifier.issn | 1064-8275 | - |
dc.identifier.uri | http://hdl.handle.net/10203/262763 | - |
dc.description.abstract | We consider a finite element discretization for the dual Rudin-Osher-Fatemi model using a Raviart-Thomas basis for H-0 (div; Omega). Since the proposed discretization has a splitting property for the energy functional, which is not satisfied for existing finite difference-based discretizations, it is more adequate for designing domain decomposition methods. In this paper, a primal domain decomposition method is proposed which resembles the classical Schur complement method for the second order elliptic problems, and it achieves O(1/n(2)) convergence. A primal-dual domain decomposition method based on the method of Lagrange multipliers on the subdomain interfaces is also considered. Local problems of the proposed primal-dual domain decomposition method can be solved at a linear convergence rate. Numerical results for the proposed methods are provided. | - |
dc.language | English | - |
dc.publisher | SIAM PUBLICATIONS | - |
dc.title | A FINITE ELEMENT APPROACH FOR THE DUAL RUDIN-OSHER-FATEMI MODEL AND ITS NONOVERLAPPING DOMAIN DECOMPOSITION METHODS | - |
dc.type | Article | - |
dc.identifier.wosid | 000469225300027 | - |
dc.identifier.scopusid | 2-s2.0-85065577920 | - |
dc.type.rims | ART | - |
dc.citation.volume | 41 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | B205 | - |
dc.citation.endingpage | B228 | - |
dc.citation.publicationname | SIAM JOURNAL ON SCIENTIFIC COMPUTING | - |
dc.identifier.doi | 10.1137/18M1165499 | - |
dc.contributor.localauthor | Lee, Chang-Ock | - |
dc.contributor.nonIdAuthor | Park, Eun-Hee | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | total variation | - |
dc.subject.keywordAuthor | Raviart-Thomas elements | - |
dc.subject.keywordAuthor | domain decomposition | - |
dc.subject.keywordAuthor | parallel computation | - |
dc.subject.keywordAuthor | image processing | - |
dc.subject.keywordPlus | TOTAL VARIATION MINIMIZATION | - |
dc.subject.keywordPlus | SUBSPACE CORRECTION METHODS | - |
dc.subject.keywordPlus | NONSMOOTH | - |
dc.subject.keywordPlus | ALGORITHM | - |
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