Coupling of mixed finite elements and boundary elements
The symmetric coupling of mixed finite element and boundary element methods is analysed for a model interface problem with the Laplacian. The coupling involves a further continuous ansatz function on the interface to link the discontinuous displacement field to the necessarily continuous boundary an...
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| Veröffentlicht in: | IMA journal of numerical analysis 2000-07, Vol.20 (3), p.461-480 |
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| container_end_page | 480 |
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| container_issue | 3 |
| container_start_page | 461 |
| container_title | IMA journal of numerical analysis |
| container_volume | 20 |
| creator | Carstensen, C Funken, SA |
| description | The symmetric coupling of mixed finite element and boundary element methods is analysed for a model interface problem with the Laplacian. The coupling involves a further continuous ansatz function on the interface to link the discontinuous displacement field to the necessarily continuous boundary ansatz function. Quasi-optimal a priori error estimates and sharp a posteriori error estimates are established which justify adaptive mesh-refining algorithms. Numerical experiments prove the adaptive coupling as an efficient tool for the numerical treatment of transmission problems. |
| doi_str_mv | 10.1093/imanum/20.3.461 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0272-4979 |
| ispartof | IMA journal of numerical analysis, 2000-07, Vol.20 (3), p.461-480 |
| issn | 0272-4979 1464-3642 |
| language | eng |
| recordid | cdi_proquest_journals_213078190 |
| source | Oxford University Press Journals All Titles (1996-Current) |
| subjects | Exact sciences and technology Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical approximation Operator theory Partial differential equations, boundary value problems Partial differential equations, initial value problems and time-dependant initial-boundary value problems Sciences and techniques of general use |
| title | Coupling of mixed finite elements and boundary elements |
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