On some three-dimensional finite elements for incompressible media (Q1825706)
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scientific article; zbMATH DE number 4121553
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some three-dimensional finite elements for incompressible media |
scientific article; zbMATH DE number 4121553 |
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On some three-dimensional finite elements for incompressible media (English)
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1987
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An error analysis for some three-dimensional mixed finite element methods for incompressible elasticity and incompressible viscous flow is presented. A continuous pressure approximation leads to a smaller system of linear equations to be solved and is thus advantageous, especially for three-dimensional systems where iterative techniques are employed for solving finite element equations. The three-dimensional analysis in case of tetrahedral elements corresponds to two-dimensional analysis. The analysis for hexahedral elements is, however, more complicated.
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error analysis
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three-dimensional mixed finite element methods
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incompressible elasticity
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incompressible viscous flow
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continuous pressure approximation
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smaller system of linear equations
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tetrahedral elements
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hexahedral elements
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0.89400715
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0.89320946
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0.8904083
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0.8835386
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0.8810126
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0.88020575
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