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JC
2007
160views more  JC 2007»
13 years 6 months ago
BDDC methods for discontinuous Galerkin discretization of elliptic problems
A discontinuous Galerkin (DG) discretization of Dirichlet problem for second-order elliptic equations with discontinuous coefficients in 2-D is considered. For this discretization...
Maksymilian Dryja, Juan Galvis, Marcus Sarkis
ICCSA
2003
Springer
14 years 3 days ago
Coarse-Grained Parallel Matrix-Free Solution of a Three-Dimensional Elliptic Prototype Problem
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...
Kevin P. Allen, Matthias K. Gobbert
SIAMNUM
2011
92views more  SIAMNUM 2011»
12 years 9 months ago
A Priori Mesh Grading for an Elliptic Problem with Dirac Right-Hand Side
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...
SIAMCO
2011
13 years 1 months ago
Semismooth Newton Methods for Optimal Control of the Wave Equation with Control Constraints
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...
Axel Kröner, Karl Kunisch, Boris Vexler
MCS
2007
Springer
13 years 6 months ago
Discrete conservation of nonnegativity for elliptic problems solved by the hp-FEM
Most results related to discrete nonnegativity conservation principles (DNCP) for elliptic problems are limited to finite differences (FDM) and lowest-order finite element meth...
Pavel Solín, Tomás Vejchodský...