 |
Journal articles
The BEM with graded meshes for the electric field integral equation on polyhedral surfaces
Abstract : We consider the variational formulation of the electric field integral equation on a Lipschitz polyhedral surface \(\Gamma \). We study the Galerkin boundary element discretisations based on the lowest-order Raviart–Thomas surface elements on a sequence of anisotropic meshes algebraically graded towards the edges of \(\Gamma \). We establish quasi-optimal convergence of Galerkin solutions under a mild restriction on the strength of grading. The key ingredient of our convergence analysis are new componentwise stability properties of the Raviart–Thomas interpolant on anisotropic elements.
https://hal-uphf.archives-ouvertes.fr/hal-03135588
Contributor : Julie Cagniard Connect in order to contact the contributor
Submitted on : Tuesday, February 9, 2021 - 9:58:21 AM
Last modification on : Saturday, October 9, 2021 - 3:15:41 AM
Contributor : Julie Cagniard Connect in order to contact the contributor
Submitted on : Tuesday, February 9, 2021 - 9:58:21 AM
Last modification on : Saturday, October 9, 2021 - 3:15:41 AM
Links full text
