Semi-analytic integration for a parallel space-time boundary element method modelling the heat equation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F21%3A10248176" target="_blank" >RIV/61989100:27240/21:10248176 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27740/21:10248176
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0898122121003795" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0898122121003795</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.camwa.2021.10.025" target="_blank" >10.1016/j.camwa.2021.10.025</a>
Alternative languages
Result language
angličtina
Original language name
Semi-analytic integration for a parallel space-time boundary element method modelling the heat equation
Original language description
The presented paper concentrates on the boundary element method (BEM) for the heat equation in three spatial dimensions. In particular, we deal with tensor product space-time meshes allowing for quadrature schemes analytic in time and numerical in space. The spatial integrals can be treated by standard BEM techniques known from three dimensional stationary problems. The contribution of the paper is twofold. First, we provide temporal antiderivatives of the heat kernel necessary for the assembly of BEM matrices and the evaluation of the representation formula. Secondly, the presented approach has been implemented in a publicly available library besthea allowing researchers to reuse the formulae and BEM routines straightaway. The results are validated by numerical experiments in an HPC environment.
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
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)
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Computers & Mathematics with Applications
ISSN
0898-1221
e-ISSN
1873-7668
Volume of the periodical
103
Issue of the periodical within the volume
1 December 2021
Country of publishing house
GB - UNITED KINGDOM
Number of pages
15
Pages from-to
156-170
UT code for WoS article
000721358500010
EID of the result in the Scopus database
2-s2.0-85118892241