A new reconstruction-enhanced discontinuous Galerkin method for time-dependent problems
- Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 125-130
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topKučera, Václav. "A new reconstruction-enhanced discontinuous Galerkin method for time-dependent problems." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2010. 125-130. <http://eudml.org/doc/271397>.
@inProceedings{Kučera2010,
abstract = {This work is concerned with the introduction of a new numerical scheme based on the discontinuous Galerkin (DG) method. We propose to follow the methodology of higher order finite volume schemes and introduce a reconstruction operator into the DG scheme. This operator constructs higher order piecewise polynomial reconstructions from the lower order DG scheme. Such a procedure was proposed already in [2] based on heuristic arguments, however we provide a rigorous derivation, which justifies the increased order of accuracy. Numerical experiments are carried out.},
author = {Kučera, Václav},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {discontinuous Galerkin method; reconstruction operator; nonlinear nonstationary scalar hyperbolic equation; Lipschitz-continuous boundary},
location = {Prague},
pages = {125-130},
publisher = {Institute of Mathematics AS CR},
title = {A new reconstruction-enhanced discontinuous Galerkin method for time-dependent problems},
url = {http://eudml.org/doc/271397},
year = {2010},
}
TY - CLSWK
AU - Kučera, Václav
TI - A new reconstruction-enhanced discontinuous Galerkin method for time-dependent problems
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2010
CY - Prague
PB - Institute of Mathematics AS CR
SP - 125
EP - 130
AB - This work is concerned with the introduction of a new numerical scheme based on the discontinuous Galerkin (DG) method. We propose to follow the methodology of higher order finite volume schemes and introduce a reconstruction operator into the DG scheme. This operator constructs higher order piecewise polynomial reconstructions from the lower order DG scheme. Such a procedure was proposed already in [2] based on heuristic arguments, however we provide a rigorous derivation, which justifies the increased order of accuracy. Numerical experiments are carried out.
KW - discontinuous Galerkin method; reconstruction operator; nonlinear nonstationary scalar hyperbolic equation; Lipschitz-continuous boundary
UR - http://eudml.org/doc/271397
ER -
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