Anisotropic hp-mesh optimization technique based on the continuous mesh and error models
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10361204" target="_blank" >RIV/00216208:11320/17:10361204 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.camwa.2016.12.015" target="_blank" >http://dx.doi.org/10.1016/j.camwa.2016.12.015</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.camwa.2016.12.015" target="_blank" >10.1016/j.camwa.2016.12.015</a>
Alternative languages
Result language
angličtina
Original language name
Anisotropic hp-mesh optimization technique based on the continuous mesh and error models
Original language description
We develop a new mesh adaptive technique for the numerical solution of partial differential equations (PDEs) using the hp-version of the finite element method (hp-FEM). The technique uses a combination of approximation and interpolation error estimates to generate anisotropic triangular elements as well as appropriate polynomial approximation degrees. We present a hp-version of the continuous mesh model as well as the continuous error model which are used for the formulation of a mesh optimization problem. Solving the optimization problem leads to hp-mesh with the smallest number of degrees of freedom, under the constraint that the approximate solution has an error estimate below a given tolerance. Further, we propose an iterative algorithm to find a suitable anisotropic hp-mesh in the sense of the mesh optimization problem. Several numerical examples demonstrating the efficiency and applicability of the new method are presented.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
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
2017
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
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Volume of the periodical
74
Issue of the periodical within the volume
1
Country of publishing house
GB - UNITED KINGDOM
Number of pages
19
Pages from-to
45-63
UT code for WoS article
000403633600005
EID of the result in the Scopus database
2-s2.0-85008608257