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  • We propose a new class of hierarchic higher-order finite elements suitable for the hp-finite element method discretization of symmetric linear elliptic problems. These elements use shape functions which are partially orthonormal on the reference domain under the energetic inner product induced by the elliptic problem. We present numerical experiments showing excellent conditioning properties of the new partially orthogonal shape functions compared to other popular sets of hierarchic shape functions.
  • We propose a new class of hierarchic higher-order finite elements suitable for the hp-finite element method discretization of symmetric linear elliptic problems. These elements use shape functions which are partially orthonormal on the reference domain under the energetic inner product induced by the elliptic problem. We present numerical experiments showing excellent conditioning properties of the new partially orthogonal shape functions compared to other popular sets of hierarchic shape functions. (en)
Title
  • Imposing orthogonality to hierarchic higher-order finite elements
  • Imposing orthogonality to hierarchic higher-order finite elements (en)
skos:prefLabel
  • Imposing orthogonality to hierarchic higher-order finite elements
  • Imposing orthogonality to hierarchic higher-order finite elements (en)
skos:notation
  • RIV/67985840:_____/07:00335929!RIV10-AV0-67985840
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GP201/04/P021), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 1-3
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
  • 425751
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/07:00335929
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • optimal shape functions; energetic inner product; Laplace equation; symmetric linear elliptic problems; numerical experiments; hp-finite element method (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [787316C98B24]
http://linked.open...i/riv/nazevZdroje
  • Mathematics and Computers in Simulation
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
  • 76
http://linked.open...iv/tvurceVysledku
  • Vejchodský, Tomáš
  • Šolín, P.
  • Zítka, M.
  • Ávila, F.
http://linked.open...ain/vavai/riv/wos
  • 000250841000033
http://linked.open...n/vavai/riv/zamer
issn
  • 0378-4754
number of pages
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