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  • This contribution reviews the general theory of the discrete Green's function and presents a numerical experiment indicating that the discrete maximum principle (DMP) fails to hold in the case of Poisson problem on any uniform triangulation of a triangular domain for orders of approximation three and higher. This extends the result [Computing 27, 145-154(1981)] that the Laplace equation discretiyed bz the higher-order FEM sarisfies the DMP on a patch of triangular elements in exceptional cases only.
  • This contribution reviews the general theory of the discrete Green's function and presents a numerical experiment indicating that the discrete maximum principle (DMP) fails to hold in the case of Poisson problem on any uniform triangulation of a triangular domain for orders of approximation three and higher. This extends the result [Computing 27, 145-154(1981)] that the Laplace equation discretiyed bz the higher-order FEM sarisfies the DMP on a patch of triangular elements in exceptional cases only. (en)
Title
  • Angle conditions for discrete maximum principles in higher-order FEM
  • Angle conditions for discrete maximum principles in higher-order FEM (en)
skos:prefLabel
  • Angle conditions for discrete maximum principles in higher-order FEM
  • Angle conditions for discrete maximum principles in higher-order FEM (en)
skos:notation
  • RIV/67985840:_____/10:00351145!RIV11-GA0-67985840
http://linked.open...avai/riv/aktivita
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  • P(GA102/07/0496), P(IAA100760702), Z(AV0Z10190503)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 246941
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  • RIV/67985840:_____/10:00351145
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  • finite element method; higher-order; discrete maximum principle; discrete Green's function (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [B3581CB8149D]
http://linked.open...v/mistoKonaniAkce
  • Uppsala
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  • Berlin
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  • Numerical Mathematics and Advanced Applications 2009
http://linked.open...in/vavai/riv/obor
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Vejchodský, Tomáš
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http://linked.open...n/vavai/riv/zamer
number of pages
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  • Springer-Verlag
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  • 978-3-642-11794-7
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