A finite element method for nearly incompressible elasticity problems
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- by Dietrich Braess and Pingbing Ming;
- Math. Comp. 74 (2005), 25-52
- DOI: https://doi.org/10.1090/S0025-5718-04-01662-X
- Published electronically: April 28, 2004
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Abstract:
A finite element method is considered for dealing with nearly incompressible material. In the case of large deformations the nonlinear character of the volumetric contribution has to be taken into account. The proposed mixed method avoids volumetric locking also in this case and is robust for $\lambda \to \infty$ (with $\lambda$ being the well-known Lamé constant). Error estimates for the $L^{\infty }$-norm are crucial in the control of the nonlinear terms.References
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Bibliographic Information
- Dietrich Braess
- Affiliation: Faculty of Mathematics, Ruhr-University, 44780 Bochum, Germany
- Email: braess@num.ruhr-uni-bochum.de
- Pingbing Ming
- Affiliation: Institute of Computational Mathematics, Chinese Academy of Sciences, POB 2719, Beijing 100080, Peoples Republic of China
- Email: mpb@lsec.cc.ac.cn
- Received by editor(s): November 7, 2001
- Received by editor(s) in revised form: July 11, 2003
- Published electronically: April 28, 2004
- © Copyright 2004 American Mathematical Society
- Journal: Math. Comp. 74 (2005), 25-52
- MSC (2000): Primary 65N30, 74S05, 74B20
- DOI: https://doi.org/10.1090/S0025-5718-04-01662-X
- MathSciNet review: 2085401