A discontinuous Galerkin (DG) discretization of Dirichlet problem for second-order elliptic equations with discontinuous coefficients in 2-D is considered. For this discretization...
The finite difference discretization of the Poisson equation in three dimensions results in a large, sparse, and highly structured system of linear equations. This prototype prob...
The Green function of the Poisson equation in two dimensions is not contained in the Sobolev space H1(Ω) such that finite element error estimates for the discretization of a prob...
Thomas Apel, Olaf Benedix, Dieter Sirch, Boris Vex...
In this paper optimal control problems governed by the wave equation with control constraints are analyzed. Three types of control action are considered: distributed control, Neuma...
Most results related to discrete nonnegativity conservation principles (DNCP) for elliptic problems are limited to finite differences (FDM) and lowest-order finite element meth...