Monolithic discretization of linear thermoelasticity problems via adaptive multimesh hp-FEM
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F09%3A00334772" target="_blank" >RIV/61388998:_____/09:00334772 - isvavai.cz</a>
Alternative codes found
RIV/61388998:_____/10:00347684
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Monolithic discretization of linear thermoelasticity problems via adaptive multimesh hp-FEM
Original language description
In linear thermoelasticity models, the temperature and the displacement components exhibit large qualitative differences: while temperature typically is very smooth everywhere in the domain, the displacements have singular gradients (stresses) at reentrant corners and edges. The mesh must be extremely fine in these areas so that stress intensity factors are resolved sufficiently. One of the best available methods for this task is the exponentially convergent hp-FEM. Note, But the standard adaptive hp-FEM approximates all three fields on the same mesh. Therefore, a large number of degrees of freedom of temperature are wasted. This motivates us to approximate the above fields on individual hp-meshes equipped with mutually independent hp-adaptivity mechanisms. In this paper we describe their mathematical and algorithmic aspects and demonstrate numerically that it performs better than the standard adaptive h-FEM and hp-FEM.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
JA - Electronics and optoelectronics
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Computational and Applied Mathematics
ISSN
0377-0427
e-ISSN
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Volume of the periodical
234
Issue of the periodical within the volume
7
Country of publishing house
GB - UNITED KINGDOM
Number of pages
8
Pages from-to
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UT code for WoS article
000279071000038
EID of the result in the Scopus database
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