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A simple nonconform...
A simple nonconforming tetrahedral element for the Stokes equations
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- Hansbo, Peter (författare)
- Jönköping University,JTH, Material och tillverkning,Department of Mechanical Engineering, Jönköping University, Jönköping, Sweden
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- Larson, Mats G. (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Department of Mathematics and Mathematical Statistics, Umeå, Univerity, Umeå, SE-90187, Sweden
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(creator_code:org_t)
- Elsevier, 2022
- 2022
- Engelska.
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Ingår i: Computer Methods in Applied Mechanics and Engineering. - : Elsevier. - 0045-7825 .- 1879-2138. ; 400
- Relaterad länk:
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Abstract
Ämnesord
Stäng
- In this paper we apply a nonconforming rotated bilinear tetrahedral element to the Stokes problem in R3. We show that the element is stable in combination with a piecewise linear, continuous, approximation of the pressure. This gives an approximation similar to the well known continuous P2–P1 Taylor–Hood element, but with fewer degrees of freedom. The element is a stable non-conforming low order element which fulfils Korn's inequality, leading to stability also in the case where the Stokes equations are written on stress form for use in the case of free surface flow.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik -- Teknisk mekanik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering -- Applied Mechanics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
Nyckelord
- Degrees of freedom (mechanics)
- Navier Stokes equations
- Piecewise linear techniques
- A-stable
- Continous approximation
- Lower order elements
- Nonconforming element
- Piecewise linear
- Piecewise-linear
- Simple+
- Stokes equations
- Stokes problem
- Tetrahedral elements
- Finite element method
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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