Giani, Stefano (2015) 'Solving elliptic eigenvalue problems on polygonal meshes using discontinuous Galerkin composite finite element methods.', Applied mathematics and computation., 267 . pp. 618-631.
Abstract
In this paper we introduce a discontinuous Galerkin method on polygonal meshes. This method arises from the discontinuous Galerkin composite finite element method (DGFEM) for source problems on domains with micro-structures. In the context of the present paper, the flexibility of DGFEM is applied to handle polygonal meshes. We prove the a priori convergence of the method for both eigenvalues and eigenfunctions for elliptic eigenvalue problems. Numerical experiments highlighting the performance of the proposed method for problems with discontinuous coefficients and on convex and non-convex polygonal meshes are presented.
| Item Type: | Article |
|---|---|
| Keywords: | Discontinuous Galerkin, Polygonal meshes, Eigenvalue problems, A priori analysis. |
| Full text: | (AM) Accepted Manuscript Available under License - Creative Commons Attribution Non-commercial No Derivatives. Download PDF (697Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | http://dx.doi.org/10.1016/j.amc.2015.01.011 |
| Publisher statement: | © 2015 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| Date accepted: | No date available |
| Date deposited: | 06 October 2014 |
| Date of first online publication: | September 2015 |
| Date first made open access: | No date available |
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