A posteriori error estimates for the finite element approximation of eigenvalue problems
This paper deals with a posteriori error estimators for the linear finite element approximation of second-order elliptic eigenvalue problems in two or three dimensions. First, we give a simple proof of the equivalence, up to higher order terms, between the error and a residual type error estimator....
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | JOUR |
| Materias: | |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_02182025_v13_n8_p1219_Duran |
| Aporte de: |
| id |
todo:paper_02182025_v13_n8_p1219_Duran |
|---|---|
| record_format |
dspace |
| spelling |
todo:paper_02182025_v13_n8_p1219_Duran2023-10-03T15:10:49Z A posteriori error estimates for the finite element approximation of eigenvalue problems Duran, R.G. Padra, C. Rodríguez, R. A posteriori error estimates Eigenvalue problems Finite elements This paper deals with a posteriori error estimators for the linear finite element approximation of second-order elliptic eigenvalue problems in two or three dimensions. First, we give a simple proof of the equivalence, up to higher order terms, between the error and a residual type error estimator. Second, we prove that the volumetric part of the residual is dominated by a constant times the edge or face residuals, again up to higher order terms. This result was not known for eigenvalue problems. Fil:Duran, R.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Padra, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_02182025_v13_n8_p1219_Duran |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
A posteriori error estimates Eigenvalue problems Finite elements |
| spellingShingle |
A posteriori error estimates Eigenvalue problems Finite elements Duran, R.G. Padra, C. Rodríguez, R. A posteriori error estimates for the finite element approximation of eigenvalue problems |
| topic_facet |
A posteriori error estimates Eigenvalue problems Finite elements |
| description |
This paper deals with a posteriori error estimators for the linear finite element approximation of second-order elliptic eigenvalue problems in two or three dimensions. First, we give a simple proof of the equivalence, up to higher order terms, between the error and a residual type error estimator. Second, we prove that the volumetric part of the residual is dominated by a constant times the edge or face residuals, again up to higher order terms. This result was not known for eigenvalue problems. |
| format |
JOUR |
| author |
Duran, R.G. Padra, C. Rodríguez, R. |
| author_facet |
Duran, R.G. Padra, C. Rodríguez, R. |
| author_sort |
Duran, R.G. |
| title |
A posteriori error estimates for the finite element approximation of eigenvalue problems |
| title_short |
A posteriori error estimates for the finite element approximation of eigenvalue problems |
| title_full |
A posteriori error estimates for the finite element approximation of eigenvalue problems |
| title_fullStr |
A posteriori error estimates for the finite element approximation of eigenvalue problems |
| title_full_unstemmed |
A posteriori error estimates for the finite element approximation of eigenvalue problems |
| title_sort |
posteriori error estimates for the finite element approximation of eigenvalue problems |
| url |
http://hdl.handle.net/20.500.12110/paper_02182025_v13_n8_p1219_Duran |
| work_keys_str_mv |
AT duranrg aposteriorierrorestimatesforthefiniteelementapproximationofeigenvalueproblems AT padrac aposteriorierrorestimatesforthefiniteelementapproximationofeigenvalueproblems AT rodriguezr aposteriorierrorestimatesforthefiniteelementapproximationofeigenvalueproblems AT duranrg posteriorierrorestimatesforthefiniteelementapproximationofeigenvalueproblems AT padrac posteriorierrorestimatesforthefiniteelementapproximationofeigenvalueproblems AT rodriguezr posteriorierrorestimatesforthefiniteelementapproximationofeigenvalueproblems |
| _version_ |
1807318116340858880 |