Pointwise a posteriori error analysis for an adaptive penalty finite element method for the obstacle problem.
French, Donald A., Larsson, Stig, Nochetto, Ricardo H. (2001)
Computational Methods in Applied Mathematics
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French, Donald A., Larsson, Stig, Nochetto, Ricardo H. (2001)
Computational Methods in Applied Mathematics
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Valdman, Jan (2009)
Advances in Numerical Analysis
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Shi, Zhongci, Xu, Xuejun (2001)
Computational Methods in Applied Mathematics
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Fulton, Scott R. (2003)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Blum, Heribert, Rademacher, Andreas, Schröder, Andreas (2008)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Jan Brandts (1999)
Applications of Mathematics
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We will investigate the possibility to use superconvergence results for the mixed finite element discretizations of some time-dependent partial differential equations in the construction of a posteriori error estimators. Since essentially the same approach can be followed in two space dimensions, we will, for simplicity, consider a model problem in one space dimension.
Schmidt, Alfred, Siebert, K.G. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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Zakaria Belhachmi (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We consider a non-conforming stabilized domain decomposition technique for the discretization of the three-dimensional Laplace equation. The aim is to extend the numerical analysis of residual error indicators to this model problem. Two formulations of the problem are considered and the error estimators are studied for both. In the first one, the error estimator provides upper and lower bounds for the energy norm of the mortar finite element solution whereas in the second case, it also...
Petr Vaněk (2012)
Applications of Mathematics
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We prove that within the frame of smoothed prolongations, rapid coarsening between first two levels can be compensated by massive prolongation smoothing and pre- and post-smoothing derived from the prolongator smoother.