COMPUTABLE ERROR BOUNDS FOR FINITE ELEMENT APPROXIMATIONS TO THE DIRICHLET PROBLEM
The constants bounding the solution of Poisson's equation in terms of the given boundary data are derived. Knowledge of these constants then permits the interpolation remainder theory of Barnhill and Gregory to be used to find computable finite element error bounds.
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| Veröffentlicht in: | The Rocky Mountain journal of mathematics 1982-01, Vol.12 (3), p.459-470 |
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| container_end_page | 470 |
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| container_issue | 3 |
| container_start_page | 459 |
| container_title | The Rocky Mountain journal of mathematics |
| container_volume | 12 |
| creator | BARNHILL, ROBERT E. WILCOX, CALVIN H. |
| description | The constants bounding the solution of Poisson's equation in terms of the given boundary data are derived. Knowledge of these constants then permits the interpolation remainder theory of Barnhill and Gregory to be used to find computable finite element error bounds. |
| doi_str_mv | 10.1216/RMJ-1982-12-3-459 |
| format | Article |
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Knowledge of these constants then permits the interpolation remainder theory of Barnhill and Gregory to be used to find computable finite element error bounds.</abstract><pub>The Rocky Mountain Mathematics Consortium</pub><doi>10.1216/RMJ-1982-12-3-459</doi><tpages>12</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0035-7596 |
| ispartof | The Rocky Mountain journal of mathematics, 1982-01, Vol.12 (3), p.459-470 |
| issn | 0035-7596 1945-3795 |
| language | eng |
| recordid | cdi_projecteuclid_primary_oai_CULeuclid_euclid_rmjm_1250128215 |
| source | JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing; EZB-FREE-00999 freely available EZB journals; Project Euclid Complete |
| subjects | Approximation Dirichlet problem Eigenvalues Error bounds Mathematical theorems Polygons Sine function |
| title | COMPUTABLE ERROR BOUNDS FOR FINITE ELEMENT APPROXIMATIONS TO THE DIRICHLET PROBLEM |
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