On the use of reconstruction in higher order DG schemes
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10104737" target="_blank" >RIV/00216208:11320/11:10104737 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1063/1.3636880" target="_blank" >http://dx.doi.org/10.1063/1.3636880</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.3636880" target="_blank" >10.1063/1.3636880</a>
Alternative languages
Result language
angličtina
Original language name
On the use of reconstruction in higher order DG schemes
Original language description
In this work we follow the methodology of higher order finite volume (FV) and spectral volume (SV) schemes and introduce a reconstruction operator into the discontinuous Galerkin (DG) method. This operator constructs higher order piecewise polynomial reconstructions from the lower order DG scheme. This allows us to increase the accuracy of existing DG schemes with a problem-independent reconstruction procedure. Unlike the FVM, the reconstruction stencil has minimal size independent of the approximationorder. Such a procedure was already proposed based on heuristic arguments, however we provide a more rigorous derivation, which justifies the increased order of accuracy. Furthermore, we provide an alternative construction of the reconstruction procedurebased on the SV method. Numerical experiments are carried out.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GPP201%2F11%2FP414" target="_blank" >GPP201/11/P414: Higher order methods based on reconstruction for the solution of conservation laws</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Numerical Analysis and Applied Mathematics ICNAAM 2011
ISBN
978-0-7354-0956-9
ISSN
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e-ISSN
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Number of pages
4
Pages from-to
899-902
Publisher name
American Institute of Physics
Place of publication
Melville, New York
Event location
Halkidiki, Greece
Event date
Sep 19, 2011
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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