All Outputs (4)

Second-order elliptic PDE with discontinuous boundary data (2009)
Journal Article

We shall consider the weak formulation of a linear elliptic model problem with discontinuous Dirichlet boundary conditions. Since such problems are typically not well-defined in the standard H^1-H^1 setting, we will introduce a suitable saddle point... Read More about Second-order elliptic PDE with discontinuous boundary data.

A class of domain decomposition preconditioners for hp-discontinuous Galerkin finite element methods (2009)
Journal Article

In this article we address the question of efficiently solving the algebraic linear system of equations arising from the discretization of a symmetric, elliptic boundary value problem using hp-version discontinuous Galerkin finite element methods. In... Read More about A class of domain decomposition preconditioners for hp-discontinuous Galerkin finite element methods.

An hr-adaptive discontinuous Galerkin method for advection-diffusion problems (2009)
Journal Article

We propose an adaptive mesh refinement strategy based on exploiting a combination of a pre-processing mesh re-distribution algorithm employing a harmonic mapping technique, and standard (isotropic) mesh subdivision for discontinuous Galerkin approxim... Read More about An hr-adaptive discontinuous Galerkin method for advection-diffusion problems.

Energy norm a-posteriori error estimation for hp-adaptive discontinuous Galerkin methods for elliptic problems in three dimensions (2009)
Journal Article

We develop the energy norm a-posteriori error estimation for hp-version discontinuous Galerkin (DG) discretizations of elliptic boundary-value problems on 1-irregularly, isotropically refined affine hexahedral meshes in three dimensions. We derive a... Read More about Energy norm a-posteriori error estimation for hp-adaptive discontinuous Galerkin methods for elliptic problems in three dimensions.