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A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity
Université de Pau et des Pays de l’Adour.
University of Sussex.
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
2009 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 198, no 41-44, p. 3352-3360Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2009. Vol. 198, no 41-44, p. 3352-3360
Keywords [en]
Nitsche's method, Extended finite element method, Incompressible elasticity, Stokes' problem, Discontinuous coefficients, Surface tension
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hj:diva-15822DOI: 10.1016/j.cma.2009.06.017ISI: 000270702300013OAI: oai:DiVA.org:hj-15822DiVA, id: diva2:440330
Available from: 2011-09-12 Created: 2011-08-16 Last updated: 2017-12-08Bibliographically approved

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Hansbo, Peter

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