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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%3A27740%2F21%3A10248176" target="_blank" >RIV/61989100:27740/21:10248176 - isvavai.cz</a>

  • Alternative codes found

    RIV/61989100:27240/21:10248176

  • 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

  • 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

    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 &amp; Mathematics with Applications

  • ISSN

    0898-1221

  • e-ISSN

  • 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