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  • In this note we discuss and compare the performance of the finite element method (FEM) on two popular types of meshes - simplicial and block ones. A special emphasis is put on the validity of discrete maximum principles and on associated (geometric) mesh generation/refinement issues in higher dimensions. As a result, we would recommend to carefully reconsider the common belief that the simplicial finite elements are very convenient to describe complicated geometries (which appear in real-life problems), and also that the block finite elements, due to their simplicity, should be used if the geometry of the solution domain allows that.
  • In this note we discuss and compare the performance of the finite element method (FEM) on two popular types of meshes - simplicial and block ones. A special emphasis is put on the validity of discrete maximum principles and on associated (geometric) mesh generation/refinement issues in higher dimensions. As a result, we would recommend to carefully reconsider the common belief that the simplicial finite elements are very convenient to describe complicated geometries (which appear in real-life problems), and also that the block finite elements, due to their simplicity, should be used if the geometry of the solution domain allows that. (en)
Title
  • A comparison of simplicial and block finite elements
  • A comparison of simplicial and block finite elements (en)
skos:prefLabel
  • A comparison of simplicial and block finite elements
  • A comparison of simplicial and block finite elements (en)
skos:notation
  • RIV/67985840:_____/10:00351143!RIV11-GA0-67985840
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA102/07/0496), P(IAA100760702), Z(AV0Z10190503)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
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  • 244535
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/10:00351143
http://linked.open...riv/jazykVysledku
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  • finite element method; simples; blocks; discrete maximum principle; mesh refinement (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [8F7F058E36B2]
http://linked.open...v/mistoKonaniAkce
  • Uppsala
http://linked.open...i/riv/mistoVydani
  • Berlin
http://linked.open...i/riv/nazevZdroje
  • Numerical Mathematics and Advanced Applications 2009
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Korotov, S.
  • Vejchodský, Tomáš
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
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  • Springer-Verlag
https://schema.org/isbn
  • 978-3-642-11794-7
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