Anisotropic hp-adaptive method based on interpolation error estimates in the H (1)-seminorm

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10315233" target="_blank" >RIV/00216208:11320/15:10315233 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10492-015-0113-7" target="_blank" >http://dx.doi.org/10.1007/s10492-015-0113-7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10492-015-0113-7" target="_blank" >10.1007/s10492-015-0113-7</a>

Result language
angličtina
Original language name
Anisotropic hp-adaptive method based on interpolation error estimates in the H (1)-seminorm
Original language description
We develop a new technique which, for the given smooth function, generates the anisotropic triangular grid and the corresponding polynomial approximation degrees based on the minimization of the interpolation error in the broken H (1)-seminorm. This technique can be employed for the numerical solution of boundary value problems with the aid of finite element methods. We present the theoretical background of this approach and show several numerical examples demonstrating the efficiency of the proposed anisotropic adaptive strategy in comparison with other adaptive approaches.
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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