All Outputs (1767)

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.

Discontinuous Galerkin Methods for the Biharmonic Problem
Journal Article
Georgoulis, E. H., & Houston, P. Discontinuous Galerkin Methods for the Biharmonic Problem. Manuscript submitted for publication

This work is concerned with the design and analysis of hp-version discontinuous Galerkin (DG) finite element methods for boundary-value problems involving the biharmonic operator. The first part extends the unified approach of Arnold, Brezzi, Cockbur... Read More about Discontinuous Galerkin Methods for the Biharmonic Problem.

Simplified three player Kuhn poker
Book
Billingham, J. Simplified three player Kuhn poker. Arxiv

We study a very small three player poker game (one-third street Kuhn poker), and a simplified version of the game that is interesting because it has three distinct equilibrium solutions. For one-third street Kuhn poker, we are able to find all of the... Read More about Simplified three player Kuhn poker.

Dendritic cable with active spines: a modeling study in the spike-diffuse-spike framework
Journal Article
Timofeeva, Y., Lord, G., & Coombes, S. Dendritic cable with active spines: a modeling study in the spike-diffuse-spike framework. https://doi.org/10.1016/j.neucom.2005.12.045

The spike-diffuse-spike (SDS) model describes a passive dendritic tree with active dendritic spines. Spine-head dynamics is modelled with a simple integrate-and-fire process, whilst communication between spines is mediated by the cable equation. Her... Read More about Dendritic cable with active spines: a modeling study in the spike-diffuse-spike framework.

Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods
Journal Article
Antonietti, P. F., & Ayuso, B. Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods. Manuscript submitted for publication

We extend the construction and analysis of the non-overlapping Schwarz preconditioners proposed in Antonietti et al. [Math. Model. Numer. Anal., 41(1):21-54, 2007] and [Math. Model. Numer. Anal., submitted, 2006] to the (non-consistent) super penalty... Read More about Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods.

Geometrical issues in the continuum mechanics of solid crystals
Journal Article
Nicks, R., & Parry, G. P. Geometrical issues in the continuum mechanics of solid crystals. Miskolc Mathematical Notes,

We shall outline geometrical and algebraic ideas which appear to lie at the foundation of the theory of defective crystals that was introduced by Davini [5] in 1986. The focus of the paper will be on the connection between continuous and discrete mod... Read More about Geometrical issues in the continuum mechanics of solid crystals.

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