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Continuous interior...
Continuous interior penalty finite element method for Oseen's equations
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- Burman, Erik (author)
- Ecole Polytechnique Federale de Lausanne (EPFL),Swiss Federal Institute of Technology in Lausanne (EPFL)
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- Fernandez, Miguel (author)
- Institut National de Recherche en Informatique et en Automatique (INRIA)
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- Hansbo, Peter F G, 1959 (author)
- Jönköping University,JTH. Forskningsmiljö Produktutveckling - Simulering och optimering
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(creator_code:org_t)
- Society for Industrial & Applied Mathematics (SIAM), 2006
- 2006
- English.
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In: SIAM Journal on Numerical Analysis. - : Society for Industrial & Applied Mathematics (SIAM). - 1095-7170 .- 0036-1429. ; 44:3, s. 1248 - 1274
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Abstract
Subject headings
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- In this paper we present an extension of the continuous interior penalty method of Douglas and Dupont [Interior penalty procedures for elliptic and parabolic Galerkin methods, in Computing Methods in Applied Sciences, Lecture Notes in Phys. 58, Springer-Verlag, Berlin, 1976, pp. 207-216] to Oseen's equations. The method consists of a stabilized Galerkin formulation using equal order interpolation for pressure and velocity. To counter instabilities due to the pressure/velocity coupling, or due to a high local Reynolds number, we add a stabilization term giving L2-control of the jump of the gradient over element faces (edges in two dimensions) to the standard Galerkin formulation. Boundary conditions are imposed in a weak sense using a consistent penalty formulation due to Nitsche. We prove energy-type a priori error estimates independent of the local Reynolds number and give some numerical examples recovering the theoretical results.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik -- Strömningsmekanik och akustik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering -- Fluid Mechanics and Acoustics (hsv//eng)
Keyword
- finite element methods
- stabilized methods
- Oseen's equations
- continuous interior penalty
Publication and Content Type
- art (subject category)
- ref (subject category)
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