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Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method

Hansbo, Peter (author)
Jönköping University,JTH. Forskningsmiljö Produktutveckling - Simulering och optimering,Chalmers tekniska högskola,Chalmers University of Technology
Larson, Mats G (author)
Chalmers University of Technology
Jönköping University JTH Forskningsmiljö Produktutveckling - Simulering och optimering (creator_code:org_t)
2002
2002
English.
In: Computer Methods in Applied Mechanics and Engineering. - 0045-7825 .- 1879-2138. ; 191:17-18, s. 1895-1908
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • We propose and analyze a discontinuous finite element method for nearly incompressible linear elasticity on triangular meshes. We show optimal error estimates that are uniform with respect to Poisson's ratio. The method is thus locking free. We also introduce an equivalent mixed formulation, allowing for completely incompressible elasticity problems. Numerical results are presented.

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Maskinteknik -- Teknisk mekanik (hsv//swe)
ENGINEERING AND TECHNOLOGY  -- Mechanical Engineering -- Applied Mechanics (hsv//eng)
NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)
NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

Keyword

incompressible elasticity
discontinuous Galerkin
volumetric locking

Publication and Content Type

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Larson, Mats G
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Jönköping University
Chalmers University of Technology

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