B. Achchab, M. El Fatini, A. Souissi (2010)
Mathematical Modelling of Natural Phenomena
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We derive a residual a posteriori error estimates for the subscales stabilization of convection diffusion equation. The estimator yields upper bound on the error which is global and lower bound that is local
Yves Coudière, Thierry Gallouët, Raphaèle Herbin (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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The topic of this work is to obtain discrete Sobolev inequalities for piecewise constant functions, and to deduce error estimates on the approximate solutions of convection diffusion equations by finite volume schemes.
Sergey I. Repin, Tatiana S. Samrowski, Stéfan A. Sauter (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
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We consider linear elliptic problems with variable coefficients, which may sharply change values and have a complex behavior in the domain. For these problems, a new combined discretization-modeling strategy is suggested and studied. It uses a sequence of simplified models, approximating the original one with increasing accuracy. Boundary value problems generated by these simplified models are solved numerically, and the approximation and modeling errors are estimated by estimates of...
Sergey I. Repin, Tatiana S. Samrowski, Stéfan A. Sauter (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
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We consider linear elliptic problems with variable coefficients, which may sharply change values and have a complex behavior in the domain. For these problems, a new combined discretization-modeling strategy is suggested and studied. It uses a sequence of simplified models, approximating the original one with increasing accuracy. Boundary value problems generated by these simplified models are solved numerically, and the approximation and modeling errors are estimated by estimates of...
Sergey I. Repin, Tatiana S. Samrowski, Stéfan A. Sauter (2012)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We consider linear elliptic problems with variable coefficients, which may sharply change values and have a complex behavior in the domain. For these problems, a new combined discretization-modeling strategy is suggested and studied. It uses a sequence of simplified models, approximating the original one with increasing accuracy. Boundary value problems generated by these simplified models are solved numerically, and the approximation and modeling errors are estimated by estimates of...
Koichi Niijima (1989/90)
Numerische Mathematik
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