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» Numerical Studies of Adaptive Finite Element Methods for Two...
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COMPUTING
2008
174views more  COMPUTING 2008»
13 years 7 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
SIAMSC
2008
230views more  SIAMSC 2008»
13 years 7 months ago
Augmented Mixed Finite Element Methods for the Stationary Stokes Equations
In this paper we introduce and analyze two augmented mixed finite element methods for a velocity-pressure-stress formulation of the stationary Stokes equations. Our approach, which...
Leonardo E. Figueroa, Gabriel N. Gatica, Antonio M...
FOCM
2002
140views more  FOCM 2002»
13 years 7 months ago
Adaptive Wavelet Methods II - Beyond the Elliptic Case
This paper is concerned with the design and analysis of adaptive wavelet methods for systems of operator equations. Its main accomplishment is to extend the range of applicability...
Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore
MOC
2000
109views more  MOC 2000»
13 years 7 months ago
A posteriori error estimation and adaptivity for degenerate parabolic problems
Abstract. Two explicit error representation formulas are derived for degenerate parabolic PDEs, which are based on evaluating a parabolic residual in negative norms. The resulting ...
Ricardo H. Nochetto, Alfred Schmidt, C. Verdi
IPPS
2006
IEEE
14 years 1 months ago
On the performance of parallel normalized explicit preconditioned conjugate gradient type methods
A new class of parallel normalized preconditioned conjugate gradient type methods in conjunction with normalized approximate inverses algorithms, based on normalized approximate f...
George A. Gravvanis, Konstantinos M. Giannoutakis