A priori diffusion-uniform error estimates for singularly perturbed problems: Midpoint-DG discretization

Vlasák, Miloslav; Kučera, Václav

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 202-208

Abstract

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We deal with a nonstationary semilinear singularly perturbed convection–diffusion problem. We discretize this problem by discontinuous Galerkin method in space and by midpoint rule in time. We present diffusion–uniform error estimates with sketches of proofs.

How to cite

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Vlasák, Miloslav, and Kučera, Václav. "A priori diffusion-uniform error estimates for singularly perturbed problems: Midpoint-DG discretization." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2013. 202-208. <http://eudml.org/doc/271317>.

@inProceedings{Vlasák2013,
abstract = {We deal with a nonstationary semilinear singularly perturbed convection–diffusion problem. We discretize this problem by discontinuous Galerkin method in space and by midpoint rule in time. We present diffusion–uniform error estimates with sketches of proofs.},
author = {Vlasák, Miloslav, Kučera, Václav},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {convection-diffusion problem; semilinear; nonstationary; evolutionary; discontinuous Galerkin method},
location = {Prague},
pages = {202-208},
publisher = {Institute of Mathematics AS CR},
title = {A priori diffusion-uniform error estimates for singularly perturbed problems: Midpoint-DG discretization},
url = {http://eudml.org/doc/271317},
year = {2013},
}

TY - CLSWK
AU - Vlasák, Miloslav
AU - Kučera, Václav
TI - A priori diffusion-uniform error estimates for singularly perturbed problems: Midpoint-DG discretization
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2013
CY - Prague
PB - Institute of Mathematics AS CR
SP - 202
EP - 208
AB - We deal with a nonstationary semilinear singularly perturbed convection–diffusion problem. We discretize this problem by discontinuous Galerkin method in space and by midpoint rule in time. We present diffusion–uniform error estimates with sketches of proofs.
KW - convection-diffusion problem; semilinear; nonstationary; evolutionary; discontinuous Galerkin method
UR - http://eudml.org/doc/271317
ER -

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