Minimization of functional majorant in a posteriori error analysis based on (div) multigrid-preconditioned CG method.
Valdman, Jan (2009)
Advances in Numerical Analysis
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Displaying similar documents to “Verification of functional a posteriori error estimates for obstacle problem in 2D”
Minimization of functional majorant in a posteriori error analysis based on (div) multigrid-preconditioned CG method.
A finite element discretization of the contact between two membranes
Faker Ben Belgacem, Christine Bernardi, Adel Blouza, Martin Vohralík (2009)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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From the fundamental laws of elasticity, we write a model for the contact between two membranes and we perform the analysis of the corresponding system of variational inequalities. We propose a finite element discretization of this problem and prove its well-posedness. We also establish a priori and a posteriori error estimates.
Functional a posteriori error estimates for incremental models in elasto-plasticity
Sergey Repin, Jan Valdman (2009)
Open Mathematics
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We consider incremental problem arising in elasto-plastic models with isotropic hardening. Our goal is to derive computable and guaranteed bounds of the difference between the exact solution and any function in the admissible (energy) class of the problem considered. Such estimates are obtained by an advanced version of the variational approach earlier used for linear boundary-value problems and nonlinear variational problems with convex functionals [24, 30]. They do no contain mesh-dependent...
An adaptive finite element method for Fredholm integral equations of the first kind and its verification on experimental data
Nikolay Koshev, Larisa Beilina (2013)
Open Mathematics
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We propose an adaptive finite element method for the solution of a linear Fredholm integral equation of the first kind. We derive a posteriori error estimates in the functional to be minimized and in the regularized solution to this functional, and formulate corresponding adaptive algorithms. To do this we specify nonlinear results obtained earlier for the case of a linear bounded operator. Numerical experiments justify the efficiency of our a posteriori estimates applied both to the...