Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
499184 | Computer Methods in Applied Mechanics and Engineering | 2009 | 9 Pages |
Abstract
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 P1P1-continuous displacements and elementwise P0P0 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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Computer Science Applications
Authors
Roland Becker, Erik Burman, Peter Hansbo,