Discontinuous Galerkin method for the solution of a transport level-set problem

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10325036" target="_blank" >RIV/00216208:11320/16:10325036 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.camwa.2016.04.033" target="_blank" >http://dx.doi.org/10.1016/j.camwa.2016.04.033</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.camwa.2016.04.033" target="_blank" >10.1016/j.camwa.2016.04.033</a>

Result language
angličtina
Original language name
Discontinuous Galerkin method for the solution of a transport level-set problem
Original language description
The subject of the paper is the numerical analysis of the transport level-set problem discretized by the discontinuous Galerkin method. Without the assumption that the first order nonstationary transport equation contains a reaction term, which is used in a standard literature, we prove error estimates in the Loo(L2)-norm in the case of the space semidiscretization method of lines and in the case of the space-time discontinuous Galerkin method in the L2(L2)-norm. Numerical experiments support the derived error estimates and show that they are not sharp in the case of the space-time discontinuous Galerkin method.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GA13-00522S" target="_blank" >GA13-00522S: Qualitative analysis and numerical solution of problems of flows in generally time-dependent domains with various boundary conditions</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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