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Description
  • In this paper we discuss constrained approximation with arbitrary-level hanging nodes in adaptive higher-order finite element methods (hp-FEM) for three-dimensional problems. This technique enables using highly irregular meshes, and it greatly simplifies the design of adaptive algorithms as it prevents refinements from propagating recursively through the finite element mesh. The technique makes it possible to design efficient adaptive algorithms for purely hexahedral meshes. We present a detailed mathematical description of the method and illustrate it with numerical examples.
  • In this paper we discuss constrained approximation with arbitrary-level hanging nodes in adaptive higher-order finite element methods (hp-FEM) for three-dimensional problems. This technique enables using highly irregular meshes, and it greatly simplifies the design of adaptive algorithms as it prevents refinements from propagating recursively through the finite element mesh. The technique makes it possible to design efficient adaptive algorithms for purely hexahedral meshes. We present a detailed mathematical description of the method and illustrate it with numerical examples. (en)
Title
  • Arbitrary-level hanging nodes for adaptive hp-FEM approximations in 3D
  • Arbitrary-level hanging nodes for adaptive hp-FEM approximations in 3D (en)
skos:prefLabel
  • Arbitrary-level hanging nodes for adaptive hp-FEM approximations in 3D
  • Arbitrary-level hanging nodes for adaptive hp-FEM approximations in 3D (en)
skos:notation
  • RIV/49777513:23220/14:43922242!RIV15-GA0-23220___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(ED2.1.00/03.0094), P(GAP102/11/0498)
http://linked.open...iv/cisloPeriodika
  • November 2014
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
  • 3972
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23220/14:43922242
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Irregular meshes; Higher-order elements; Finite element method; Constrained approximation; Automatic adaptivity; Arbitrary-level hanging nodes (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [FA0DA22A9C23]
http://linked.open...i/riv/nazevZdroje
  • Journal of Computational and Applied Mathematics
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
  • 270
http://linked.open...iv/tvurceVysledku
  • Kůs, Pavel
  • Šolín, Pavel
  • Andrš, David
issn
  • 0377-0427
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.cam.2014.02.010
http://localhost/t...ganizacniJednotka
  • 23220
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