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A geometric toolbox for tetrahedral finite elements partitions

Result description

In this work we present a survey of some geometric results on tetrahedral partitions and their refinements in a unified manner. They can be used for mesh generation and adaptivity in practical calculations by the finite element method (FEM), and also intheoretical finite element (FE) analysis. Special emphasis is laid on the correspondence between relevant results and terminology used in FE computations, and those established in the area of discrete and computational geometry (DCG).

Keywords

finite element methodstetrahedronpolyhedral domain

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    A geometric toolbox for tetrahedral finite elements partitions

  • Original language description

    In this work we present a survey of some geometric results on tetrahedral partitions and their refinements in a unified manner. They can be used for mesh generation and adaptivity in practical calculations by the finite element method (FEM), and also intheoretical finite element (FE) analysis. Special emphasis is laid on the correspondence between relevant results and terminology used in FE computations, and those established in the area of discrete and computational geometry (DCG).

  • Czech name

  • Czech description

Classification

  • Type

    C - Chapter in a specialist book

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

Others

  • Publication year

    2011

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Book/collection name

    Efficient Preconditioned Solution Methods for Elliptic Partial Differential Equations

  • ISBN

    978-1-60805-291-2

  • Number of pages of the result

    20

  • Pages from-to

    103-122

  • Number of pages of the book

    421

  • Publisher name

    Bentham Science Publishers Ltd

  • Place of publication

    Bussum

  • UT code for WoS chapter