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The role of Sommerville tetrahedra in numerical mathematics

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00475634" target="_blank" >RIV/67985840:_____/17:00475634 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.21136/panm.2016.06" target="_blank" >http://dx.doi.org/10.21136/panm.2016.06</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.21136/panm.2016.06" target="_blank" >10.21136/panm.2016.06</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    The role of Sommerville tetrahedra in numerical mathematics

  • Original language description

    In this paper we summarize three recent results in computational geometry, that were motivated by applications in mathematical modelling of fluids. The cornerstone of all three results is the genuine construction developed by D. Sommerville already in 1923. We show Sommerville tetrahedra can be effectively used as an underlying mesh with additional properties and also can help us prove a result on boundary-fitted meshes. Finally we demonstrate the universality of the Sommerville's construction by its direct generalization to any dimension.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2017

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Programs and algorithms of numerical mathematics 18

  • ISBN

    978-80-85823-67-7

  • ISSN

  • e-ISSN

  • Number of pages

    9

  • Pages from-to

    46-54

  • Publisher name

    Institute of Mathematics CAS

  • Place of publication

    Prague

  • Event location

    Janov nad Nisou

  • Event date

    Jun 19, 2016

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000467646600006