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Description
  • Metoda konečných prvků (MKP) a její hp-verze (hp-MKP) je velmi účinná numerická metoda pro řešení parciálních diferenciálních rovnic. Na rozdíl od metod nižších řádů je hp-MKP schopna dosáhnout exponenciálních řad konvergence a to dokonce v případech, kdy řešení má singularity a nebo vnitřní či hraniční vrstvy. K dosažení exponenciální konvergence je nutné adaptovat současně geometrii sítě i polynomiální stupně. Nicméně optimální způsob hp-adaptivity je stále neznámý. Tento článek poskytuje stručný úvod do problematiky hp-MKP a hp-adaptivity a zdůrazňuje ty části, které zatím nejsou optimálně vyřešeny. (cs)
  • The hp-version of the finite element method (hp-FEM) is extremely efficient numerical method for solving partial differential equations. In comparison with low-order methods it is capable to achieve exponential rate of convergence even though the solution has singularities and/or boundary/internal layers. To achieve the exponential convergence it is necessary to adapt both the geometry of the mesh and the polynomial degrees. However, the optimal hp-adaptive strategy is still unknown. This paper gives brief introduction into the problematic of hp-FEM and hp-adaptivity and emphasizes those parts that are not optimally solved yet.
  • The hp-version of the finite element method (hp-FEM) is extremely efficient numerical method for solving partial differential equations. In comparison with low-order methods it is capable to achieve exponential rate of convergence even though the solution has singularities and/or boundary/internal layers. To achieve the exponential convergence it is necessary to adapt both the geometry of the mesh and the polynomial degrees. However, the optimal hp-adaptive strategy is still unknown. This paper gives brief introduction into the problematic of hp-FEM and hp-adaptivity and emphasizes those parts that are not optimally solved yet. (en)
Title
  • The Problem of Adaptivity for hp-FEM
  • Problém adaptivity v hp verzi metody konečných prvků (cs)
  • The Problem of Adaptivity for hp-FEM (en)
skos:prefLabel
  • The Problem of Adaptivity for hp-FEM
  • Problém adaptivity v hp verzi metody konečných prvků (cs)
  • The Problem of Adaptivity for hp-FEM (en)
skos:notation
  • RIV/67985840:_____/06:00083901!RIV08-AV0-67985840
http://linked.open.../vavai/riv/strany
  • 247;254
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GP201/04/P021), Z(AV0Z10190503)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
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  • 494893
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/06:00083901
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http://linked.open.../riv/klicovaSlova
  • hp-version of the finite element method (hp-FEM); hp-adaptivity (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [D2B8AFFC4FED]
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  • Liberec
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  • Liberec
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  • Proceedings of the Conference Presentation of Mathematics ´06
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http://linked.open...vavai/riv/projekt
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  • Vejchodský, Tomáš
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http://linked.open...n/vavai/riv/zamer
number of pages
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  • Technická univerzita v Liberci
https://schema.org/isbn
  • 80-7372-153-8
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