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.
Author: | Daniel Peterseim |
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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 |