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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 HansboIn 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.
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Publication status
- Published
Journal
Computer Methods in Applied Mechanics and EngineeringISSN
0045-7825Publisher
ElsevierExternal DOI
Issue
41Volume
198Page range
3352-3360Department affiliated with
- Mathematics Publications
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- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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