Anisotropic hp-adaptive method based on interpolation error estimates in the L-q-norm

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10272215" target="_blank" >RIV/00216208:11320/14:10272215 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.apnum.2014.03.003" target="_blank" >http://dx.doi.org/10.1016/j.apnum.2014.03.003</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.apnum.2014.03.003" target="_blank" >10.1016/j.apnum.2014.03.003</a>

Result language
angličtina
Original language name
Anisotropic hp-adaptive method based on interpolation error estimates in the L-q-norm
Original language description
We present a new anisotropic $hp$-adaptive technique, which can be employed for the numerical solution of various scientific and engineering problems governed by partial differential equations in 2D with the aid of a discontinuous piecewise polynomial approximation. This method generates anisotropic triangular grids and the corresponding polynomial approximation degrees based on the minimization of the interpolation error in the $L^q$-norm. We develop the theoretical background of this approach and present several numerical examples demonstrating the efficiency of the anisotropic adaptive strategy.
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
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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