A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity
Journal article, 2009

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 P1-continuous displacements and elementwise P0 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.

Surface tension

Discontinuous coefficients

Incompressible elasticity

Stokes’ problem

Nitsche’s method

Extended finite element method


Roland Becker

Universite de Pau et des Pays de L'Adour

Erik Burman

University of Sussex

Peter F G Hansbo

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Computer Methods in Applied Mechanics and Engineering

0045-7825 (ISSN)

Vol. 198 41-44 3352-3360

Subject Categories

Mechanical Engineering

Computational Mathematics



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