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  • We give an overview of superconvergence phenomena in the finite element method for solving three-dimensional problems, in particular, for elliptic boundary value problems of second order over uniform meshes. Some difficulties with superconvergence on tetrahedral meshes are presented as well. For a given positive integer m we prove that three is no tetrahedralization of R3 whose all edges are m-valent.
  • We give an overview of superconvergence phenomena in the finite element method for solving three-dimensional problems, in particular, for elliptic boundary value problems of second order over uniform meshes. Some difficulties with superconvergence on tetrahedral meshes are presented as well. For a given positive integer m we prove that three is no tetrahedralization of R3 whose all edges are m-valent. (en)
  • Je podán přehled superkonvergenčních jevů metody konečných prvků na řešení trojrozměrných eliptických okrajových úloh. Pro přirozené číslo m je ukázáno, že neexistuje čtyřstěnná síť v R3, jejíž všechny hrany mají stupeň m. (cs)
Title
  • Superconvergence phenomena on three-dimensional meshes
  • Superconvergence phenomena on three-dimensional meshes (en)
  • Superkonvergenční jevy na trojrozměrných sítích (cs)
skos:prefLabel
  • Superconvergence phenomena on three-dimensional meshes
  • Superconvergence phenomena on three-dimensional meshes (en)
  • Superkonvergenční jevy na trojrozměrných sítích (cs)
skos:notation
  • RIV/67985840:_____/05:00022245!RIV06-AV0-67985840
http://linked.open.../vavai/riv/strany
  • 43;56
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/04/1503), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 545422
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/05:00022245
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • linear and quadratic tetrahedral elements; acute partitions; Poisson equation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CA - Kanada
http://linked.open...ontrolniKodProRIV
  • [C384D47AFECC]
http://linked.open...i/riv/nazevZdroje
  • International Journal of Numerical Analysis and Modeling
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 2
http://linked.open...iv/tvurceVysledku
  • Křížek, Michal
http://linked.open...n/vavai/riv/zamer
issn
  • 1705-5105
number of pages
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