Reconstruction operators: from finite volumes to discontinuous Galerkin

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10129897" target="_blank" >RIV/00216208:11320/12:10129897 - isvavai.cz</a>
Result on the web
<a href="http://kmd.fp.tul.cz/sna/sna-sbornik2012-final_OPR.pdf" target="_blank" >http://kmd.fp.tul.cz/sna/sna-sbornik2012-final_OPR.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Reconstruction operators: from finite volumes to discontinuous Galerkin
Original language description
In this work we use the methodology of higher order finite volume (FV) and spectral volume (SV) schemes to 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 approximation order. Such a procedure was proposed already in [1] 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 procedure based on the SV method. Numerical experiments are carried out.
Czech name
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Czech description
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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>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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