hp-dGFEM for Second-Order Elliptic Problems in Plyhedra II: Exponential Convergence
| Data(s) |
11/07/2013
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|---|---|
| Resumo |
The goal of this paper is to establish exponential convergence of $hp$-version interior penalty (IP) discontinuous Galerkin (dG) finite element methods for the numerical approximation of linear second-order elliptic boundary-value problems with homogeneous Dirichlet boundary conditions and piecewise analytic data in three-dimensional polyhedral domains. More precisely, we shall analyze the convergence of the $hp$-IP dG methods considered in [D. Schötzau, C. Schwab, T. P. Wihler, SIAM J. Numer. Anal., 51 (2013), pp. 1610--1633] based on axiparallel $\sigma$-geometric anisotropic meshes and $\bm{s}$-linear anisotropic polynomial degree distributions. |
| Formato |
application/pdf |
| Identificador |
http://boris.unibe.ch/41961/1/77427.pdf Schötzau, D.; Schwab, Ch.; Wihler, T. P. (2013). hp-dGFEM for Second-Order Elliptic Problems in Plyhedra II: Exponential Convergence. Siam Journal on numerical analysis, 51(4), pp. 2005-2035. Society for Industrial and Applied Mathematics 10.1137/090774276 <http://dx.doi.org/10.1137/090774276> doi:10.7892/boris.41961 info:doi:10.1137/090774276 urn:issn:1095-7170 |
| Idioma(s) |
eng |
| Publicador |
Society for Industrial and Applied Mathematics |
| Relação |
http://boris.unibe.ch/41961/ http://dx.doi.org/10.1137/090774276 |
| Direitos |
info:eu-repo/semantics/restrictedAccess |
| Fonte |
Schötzau, D.; Schwab, Ch.; Wihler, T. P. (2013). hp-dGFEM for Second-Order Elliptic Problems in Plyhedra II: Exponential Convergence. Siam Journal on numerical analysis, 51(4), pp. 2005-2035. Society for Industrial and Applied Mathematics 10.1137/090774276 <http://dx.doi.org/10.1137/090774276> |
| Palavras-Chave | #510 Mathematics |
| Tipo |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion PeerReviewed |
