Error estimates for nonlinear convective problems in the finite element method

Kučera, Václav

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 136-141

Abstract

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We describe the basic ideas needed to obtain apriori error estimates for a nonlinear convection diffusion equation discretized by higher order conforming finite elements. For simplicity of presentation, we derive the key estimates under simplified assumptions, e.g. Dirichlet-only boundary conditions. The resulting error estimate is obtained using continuous mathematical induction for the space semi-discrete scheme.

How to cite

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Kučera, Václav. "Error estimates for nonlinear convective problems in the finite element method." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2013. 136-141. <http://eudml.org/doc/271402>.

@inProceedings{Kučera2013,
abstract = {We describe the basic ideas needed to obtain apriori error estimates for a nonlinear convection diffusion equation discretized by higher order conforming finite elements. For simplicity of presentation, we derive the key estimates under simplified assumptions, e.g. Dirichlet-only boundary conditions. The resulting error estimate is obtained using continuous mathematical induction for the space semi-discrete scheme.},
author = {Kučera, Václav},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {error estimates; nonlinear convective problems},
location = {Prague},
pages = {136-141},
publisher = {Institute of Mathematics AS CR},
title = {Error estimates for nonlinear convective problems in the finite element method},
url = {http://eudml.org/doc/271402},
year = {2013},
}

TY - CLSWK
AU - Kučera, Václav
TI - Error estimates for nonlinear convective problems in the finite element method
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2013
CY - Prague
PB - Institute of Mathematics AS CR
SP - 136
EP - 141
AB - We describe the basic ideas needed to obtain apriori error estimates for a nonlinear convection diffusion equation discretized by higher order conforming finite elements. For simplicity of presentation, we derive the key estimates under simplified assumptions, e.g. Dirichlet-only boundary conditions. The resulting error estimate is obtained using continuous mathematical induction for the space semi-discrete scheme.
KW - error estimates; nonlinear convective problems
UR - http://eudml.org/doc/271402
ER -

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