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Composite Finite Elements for Elliptic Interface Problems

Please always quote using this URN:urn:nbn:de:0296-matheon-8705
  • A Composite Finite Element Method approximates linear elliptic boundary value problems of Dirichlet type with discontinuous coefficients at possibly high contrast. The challenge is the discontinuity in the coefficient across some interface which is not necessarily resolved by the underlying finite element mesh. The method is non-conforming in the sense that shape functions preserve continuity across the interface only in an approximative way. However, the method allows to balance the non-conformity and the best approximation error in such a way that the total discretization error is optimal with regard to the mesh size and independent of contrast.

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Metadaten
Author:Daniel Peterseim
URN:urn:nbn:de:0296-matheon-8705
Referee:Carsten Carstensen
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2011/07/14
Release Date:2011/07/14
Tag:composite finite elements; discontinuous coefficients; high contrast
Institute:Research Center Matheon
Humboldt-Universität zu Berlin
MSC-Classification:65-XX NUMERICAL ANALYSIS
Preprint Number:808
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