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A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity

journal contribution
posted on 2023-06-08, 06:10 authored by Roland Becker, Erik Burman, Peter Hansbo
In this note we propose a finite element method for incompressible (or compressible) elasticity problems with discontinuous modulus of elasticity (or, if compressible, Poisson's ratio). The problem is written on mixed form using P-1-continuous displacements and elementwise P-0 pressures, leading to the possibility of eliminating the pressure beforehand in the compressible case. In the incompressible case, the method is augmented by a stabilization term, penalizing the pressure jumps. We show a priori error estimates under certain regularity hypothesis. In particular we prove that if the exact solution is sufficiently smooth in each subdomain then the convergence order is optimal.

History

Publication status

  • Published

Journal

Computer Methods in Applied Mechanics and Engineering

ISSN

0045-7825

Publisher

Elsevier

Issue

41

Volume

198

Page range

3352-3360

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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