A goal-oriented anisotropic hp-mesh adaptation method for linear convection-diffusion-reaction problems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10403535" target="_blank" >RIV/00216208:11320/19:10403535 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=TeYFQI-wxX" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=TeYFQI-wxX</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.camwa.2019.03.046" target="_blank" >10.1016/j.camwa.2019.03.046</a>
Alternative languages
Result language
angličtina
Original language name
A goal-oriented anisotropic hp-mesh adaptation method for linear convection-diffusion-reaction problems
Original language description
We deal with the numerical solution of linear convection-diffusion-reaction equations using the hp-variant of the discontinuous Galerkin method on triangular grids. We develop a mesh adaptive algorithm which modifies the size and shape of mesh elements and the corresponding polynomial approximation degrees in order to decrease the error in a target functional under the given tolerance. We recall some theoretical results and describe in detail several technical aspects of this approach. Numerical experiments demonstrating the accuracy, efficiency and robustness of the algorithm are presented. (C) 2019 Elsevier Ltd. All rights reserved.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA17-01747S" target="_blank" >GA17-01747S: Theory and numerical analysis of coupled problems in fluid dynamics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Computers and Mathematics with Applications
ISSN
0898-1221
e-ISSN
—
Volume of the periodical
78
Issue of the periodical within the volume
9
Country of publishing house
GB - UNITED KINGDOM
Number of pages
21
Pages from-to
2973-2993
UT code for WoS article
000491624900010
EID of the result in the Scopus database
2-s2.0-85063751474