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» A nonconforming covolume method for elliptic problems
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AMC
2008
67views more  AMC 2008»
13 years 5 months ago
A nonconforming covolume method for elliptic problems
We consider a control volume(covolume) method for second order elliptic PDEs with the rotated-Q1 nonconforming finite element on rectangular grids. The coefficient may a variable,...
Yun K. Hyon, Ho J. Jang, Do Y. Kwak
MOC
2010
12 years 11 months ago
Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods
We derive in this paper a unified framework for a priori and a posteriori error analysis of mixed finite element discretizations of second-order elliptic problems. It is based on ...
Martin Vohralík
SIAMNUM
2011
110views more  SIAMNUM 2011»
12 years 12 months ago
A Posteriori Error Control for Discontinuous Galerkin Methods for Parabolic Problems
We derive energy-norm a posteriori error bounds for an Euler timestepping method combined with various spatial discontinuous Galerkin schemes for linear parabolic problems. For acc...
Emmanuil H. Georgoulis, Omar Lakkis, Juha M. Virta...
COMPUTING
2008
174views more  COMPUTING 2008»
13 years 5 months ago
Multilevel algorithms for Rannacher-Turek finite element approximation of 3D elliptic problems
Generalizing the approach of a previous work [15] the authors present multilevel preconditioners for three-dimensional (3D) elliptic problems discretized by a family of Rannacher ...
Ivan Georgiev, Johannes Kraus, Svetozar Margenov