hp-discontinuous Galerkin method based on local higher order reconstruction
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10327656" target="_blank" >RIV/00216208:11320/16:10327656 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.amc.2016.01.024" target="_blank" >http://dx.doi.org/10.1016/j.amc.2016.01.024</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2016.01.024" target="_blank" >10.1016/j.amc.2016.01.024</a>
Alternative languages
Result language
angličtina
Original language name
hp-discontinuous Galerkin method based on local higher order reconstruction
Original language description
We present a new adaptive higher-order finite element method (hp-FEM) for the solution of boundary value problems formulated in terms of partial differential equations (PDE5). The method does not use any information about the problem to be solved which makes it robust and equation-independent. It employs a higher-order reconstruction scheme over local element patches which makes it faster and easier to parallelize compared to hp-adaptive methods that are based on the solution of a reference problem on a globally hp-refined mesh. The method can be used for the solution of linear as well as nonlinear problems discretized by conforming or non-conforming finite element methods, and it can be combined with arbitrary a posteriori error estimators. The performance of the method is demonstrated by several examples carried out by the discontinuous Galerkin method.
Czech name
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Czech description
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Classification
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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Result continuities
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)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applied Mathematics and Computation
ISSN
0096-3003
e-ISSN
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Volume of the periodical
279
Issue of the periodical within the volume
April
Country of publishing house
US - UNITED STATES
Number of pages
17
Pages from-to
219-235
UT code for WoS article
000369692200016
EID of the result in the Scopus database
2-s2.0-84956980847