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  • V článku je zavedena diskrétní Greenova funkce (DGF) a dokazují se její základní vlastnosti. Dále je ukázáno, jak použít tyto výsledky k důkazu diskrétního principu maxima pro Poissonovu rovnici v jedné dimenzi diskretizovanou pomocí hp-verze metody konečných prvků. Úloha se uvažuje s čistě Dirichletovými a nebo se smíšenými Dirichletovými a Neumannovými okrajovými podmínkami a s počástech konstantním koeficientem. (cs)
  • In this paper the discrete Green´s function (DGF) is introduced and its fundamental properties are proven. Further it is indicated how to use these results to prove the discrete maximum principle for 1D Poisson equation discretized by the hp-FEM with pure Dirichlet or with mixed Dirichlet-Neumann boundary conditions and with piecewise constant coefficient
  • In this paper the discrete Green´s function (DGF) is introduced and its fundamental properties are proven. Further it is indicated how to use these results to prove the discrete maximum principle for 1D Poisson equation discretized by the hp-FEM with pure Dirichlet or with mixed Dirichlet-Neumann boundary conditions and with piecewise constant coefficient (en)
Title
  • Discrete Green´s Function and Maximum Principles
  • Discrete Green´s Function and Maximum Principles (en)
  • Diskrétní Greenova funkce a princip maxima (cs)
skos:prefLabel
  • Discrete Green´s Function and Maximum Principles
  • Discrete Green´s Function and Maximum Principles (en)
  • Diskrétní Greenova funkce a princip maxima (cs)
skos:notation
  • RIV/67985840:_____/06:00083883!RIV08-AV0-67985840
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  • 247;252
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  • P(GP201/04/P021), Z(AV0Z10190503), Z(AV0Z20760514)
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  • 471870
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  • RIV/67985840:_____/06:00083883
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  • discrete Green´s function; discrete maximum principle; finite element method (en)
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  • [432B60B6B177]
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  • Programs and Algorithms of Numerical Mathematics 13
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  • Šolín, Pavel
  • Vejchodský, Tomáš
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  • Matematický ústav AV ČR
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  • 80-85823-54-3
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