Anisotropic hp-adaptive discontinuous Galerkin method for the numerical solution of time dependent PDEs

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10301813" target="_blank" >RIV/00216208:11320/15:10301813 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0096300314017603" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0096300314017603</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2014.12.099" target="_blank" >10.1016/j.amc.2014.12.099</a>

Result language
angličtina
Original language name
Anisotropic hp-adaptive discontinuous Galerkin method for the numerical solution of time dependent PDEs
Original language description
We deal with the numerical solution of time dependent problems with the aid of anisotropic $hp$-grids. We present an algorithm which generates a sequence of anisotropic triangular grids and the corresponding polynomial approximation degrees in such a waythat the interpolation error measured in the discrete $L^infty(0,T; L^q(Omega))$-norm ($qin[1,infty]$ and $Omegasubsetmathbb{R}^2$) is under a given tolerance and the number of degrees of freedom is as small as possible. The efficiency of the algorithm is demonstrated by numerical experiments.
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
—

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
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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