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JSCIC
2008
98views more  JSCIC 2008»
13 years 4 months ago
A Posteriori Error Estimates for Parabolic Variational Inequalities
We study a posteriori error estimates in the energy norm for some parabolic obstacle problems discretized with a Euler implicit time scheme combined with a finite element spatial ...
Yves Achdou, Frédéric Hecht, David P...
MOC
2000
109views more  MOC 2000»
13 years 4 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
MOC
2010
12 years 11 months ago
Sharply local pointwise a posteriori error estimates for parabolic problems
Abstract. We prove pointwise a posteriori error estimates for semi- and fullydiscrete finite element methods for approximating the solution u to a parabolic model problem. Our esti...
Alan Demlow, Charalambos Makridakis
SIAMNUM
2011
90views more  SIAMNUM 2011»
12 years 11 months ago
Analysis for Time Discrete Approximations of Blow-up Solutions of Semilinear Parabolic Equations
We prove a posteriori error estimates for time discrete approximations, for semilinear parabolic equations with solutions that might blow-up in finite time. In particular we consi...
Irene Kyza, Charalambos Makridakis
MOC
2000
88views more  MOC 2000»
13 years 4 months ago
A posteriori error estimation for variational problems with uniformly convex functionals
The objective of this paper is to introduce a general scheme for deriving a posteriori error estimates by using duality theory of the calculus of variations. We consider variationa...
Sergey I. Repin