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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Vít Dolejší, Filip Roskovec (2017)
Applications of Mathematics
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We deal with a posteriori error control of discontinuous Galerkin approximations for linear boundary value problems. The computational error is estimated in the framework of the Dual Weighted Residual method (DWR) for goal-oriented error estimation which requires to solve an additional (adjoint) problem. We focus on the control of the algebraic errors arising from iterative solutions of algebraic systems corresponding to both the primal and adjoint problems. Moreover, we present two...
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...