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Simplicial Finite Elements in Higher Dimensions

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    SYSNO ASEP0089209
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JOstatní články
    TitleSimplicial Finite Elements in Higher Dimensions
    TitleSimpliciální konečné prvky ve vyšších dimenzích
    Author(s) Brandts, J. (NL)
    Korotov, S. (FI)
    Křížek, Michal (MU-W) RID, SAI, ORCID
    Source TitleApplications of Mathematics. - : Springer - ISSN 0862-7940
    Roč. 52, č. 3 (2007), s. 251-265
    Number of pages15 s.
    Languageeng - English
    CountryCZ - Czech Republic
    Keywordsn-simplex ; finite element method ; superconvergence
    Subject RIVBA - General Mathematics
    R&D ProjectsGA201/04/1503 GA ČR - Czech Science Foundation (CSF)
    CEZAV0Z10190503 - MU-W (2005-2011)
    AnnotationOver the past fifty years, finite element methods for the approximation of solutions of partial differential equations (PDEs) have become a powerful and reliable tool. Theoretically, these methods are not restricted to PDEs formulated on physical domains up to dimension three. Although at present there does not seem to be a very high practical demand for finite element methods that use higher dimensional simplicial partitions, there are some advantages in studying the methods independent of the dimension. For instance, it provides additional insights into the structure and essence of proofs of results in one, two and three dimensions. In this survey paper we review some recent progress in this direction.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2008
Number of the records: 1  

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