Finite element approximation of the elasticity spectral problem on curved domains
Journal of Computational and Applied Mathematics
Finite element approximation of Maxwell eigenproblems on curved Lipschitz polyhedral domains
Applied Numerical Mathematics
Convergence analysis for eigenvalue approximations on triangular finite element meshes
NAA'04 Proceedings of the Third international conference on Numerical Analysis and its Applications
| Hi-index | 0.00 |
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 Ω. Convergence and error estimates are proved for Raviart-Thomas elements on a discrete polygonal domain Ωh ***inline equation*** Ω 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.