Finite element approximation of spectral acoustic problems on curved domains
Abstract
This paper deals with the finite element approximation of the displacement formulation of the spectral acoustic problem on a curved non convex two-dimensional domain ?. Convergence and error estimates are proved for Raviart-Thomas elements on a discrete polygonal domain ?h, ? ? in the framework of the abstract spectral approximation theory. Similar results have been previously proved only for polygonal domains. Numerical tests confirming the theoretical results are reported.
Más información
Título según WOS: | Finite element approximation of spectral acoustic problems on curved domains |
Título según SCOPUS: | Finite element approximation of spectral acoustic problems on curved domains |
Título de la Revista: | NUMERISCHE MATHEMATIK |
Volumen: | 97 |
Número: | 1 |
Editorial: | SPRINGER HEIDELBERG |
Fecha de publicación: | 2004 |
Página de inicio: | 131 |
Página final: | 158 |
Idioma: | English |
URL: | http://link.springer.com/10.1007/s00211-003-0501-x |
DOI: |
10.1007/s00211-003-0501-x |
Notas: | ISI, SCOPUS |