Discontinuous Galerkin finite element solution of 3D elasticity

Computational Fluid and Solid Mechanics 2003

Volumn , Issue , 2003, Pages 2170-2172

  Wheeler, M F ^a,b   Liu, R J ^a,b  

^a The University of Texas at Austin   (United States)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

Discontinuous Galerkin; Displacement formulation; Elasticity; Incompressible

Indexed keywords

ELASTICITY; INCOMPRESSIBLE FLOW;

DISCONTINUOUS GALERKIN; DISCONTINUOUS GALERKIN FINITE-ELEMENT METHOD; DISPLACEMENT FORMULATION; ELASTIC SOLIDS; INCOMPRESSIBLE; INCOMPRESSIBLE MATERIAL; NUMERICAL RESULTS; ROBUST ALGORITHM;

GALERKIN METHODS;

EID: 84941661827     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-008044046-0.50532-7     Document Type: Chapter

References (7)

1. Riviere B, Wheeler MF Optimal error estimates for discontinuous Galerkin methods applied to linear elasticity problems. TICAM Report 00-30 2000, The University of Texas at Austin.
2. Riviere B, Shaw S, Wheeler MF, Whiteman JR Discontinuous Galerkin finite element methods for linear elasticity and quasi-static linear viscoelasticity. TICAM Report 01-04 2001, The University of Texas at Austin.
3. Girault V, Riviere B, Wheeler MF A discontinuous Galerkin method with non-overlapping domain decomposition for the Stokes and Navier-Stokes problems. TICAM Report 02-08 2002, The University of Texas at Austin.
4. Hansbo P, Larson MG Discontinuous Galerkin method for incompressible and nearly incompressible elasticity by Nitche's method. Methods Appl Mech Eng 2002, 191:1895-1908.
5. Baumann CE, Oden JT A discontinuous hp finite element method for the Euler and Navier-Stokes equations. Int J Numer Methods Fluids 1999, 31(1):79-95.
6. Bathe KJ Finite Element Procedures 1996, Prentice Hall, London.
7. Franca LP, Hughes TJR, Stenberg R Stabilized finite element methods for the Stokes problem. Research Report 1991, Laboratory for Strength of Materials, Helsinki University of Technology.