All Outputs (3)

An a posteriori error estimator for hp-adaptive discontinuous Galerkin methods for elliptic eigenvalue problems (2011)
Journal Article
Giani, S., & Hall, E. An a posteriori error estimator for hp-adaptive discontinuous Galerkin methods for elliptic eigenvalue problems. Manuscript submitted for publication

In this paper we present a residual-based {\em a posteriori} error estimator for $hp$-adaptive discontinuous Galerkin (DG) methods for elliptic eigenvalue problems. In particular we use as a model problem the Laplace eigenvalue problem on bounded dom... Read More about An a posteriori error estimator for hp-adaptive discontinuous Galerkin methods for elliptic eigenvalue problems.

On the suboptimality of the p-version interior penalty discontinuous Galerkin method
Journal Article
Georgoulis, E. H., Hall, E., & Melenk, J. M. (2009). On the suboptimality of the p-version interior penalty discontinuous Galerkin method. Journal of Scientific Computing,

We address the question of the rates of convergence of the p-version interior penalty discontinuous Galerkin method (p-IPDG) for second order elliptic problems with non-homogeneous Dirichlet boundary conditions. It is known that the p-IPDG method adm... Read More about On the suboptimality of the p-version interior penalty discontinuous Galerkin method.

Discontinuous Galerkin Methods on hp-Anisotropic Meshes II: A Posteriori Error Analysis and Adaptivity
Journal Article
Georgoulis, E. H., Hall, E., & Houston, P. Discontinuous Galerkin Methods on hp-Anisotropic Meshes II: A Posteriori Error Analysis and Adaptivity. Manuscript submitted for publication

We consider the a posteriori error analysis and hp-adaptation strategies for hp-version interior penalty discontinuous Galerkin methods for second-order partial differential equations with nonnegative characteristic form on anisotropically refined co... Read More about Discontinuous Galerkin Methods on hp-Anisotropic Meshes II: A Posteriori Error Analysis and Adaptivity.