Augmented Lagrangian and Galerkin least-squares methods for membrane contact
2018 (English) In: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 114, no 11, p. 1179-1191Article in journal (Refereed) Published
Abstract [en]
In this paper, we propose a stabilized finite element method for the numerical solution of contact between a small deformation elastic membrane and a rigid obstacle. We limit ourselves to friction-free contact, but the formulation is readily extendable to more complex situations.
Place, publisher, year, edition, pages John Wiley & Sons, 2018. Vol. 114, no 11, p. 1179-1191
Keywords [en]
Augmented Lagrangian, Contact, Galerkin least squares, Lagrange multiplier, Membrane, Stabilization, Constrained optimization, Contacts (fluid mechanics), Finite element method, Galerkin methods, Lagrange multipliers, Membranes, Numerical methods, Optimization, Augmented Lagrangians, Elastic membranes, Numerical solution, Small deformations, Stabilized finite element methods, Least squares approximations
National Category
Computational Mathematics
Identifiers URN: urn:nbn:se:hj:diva-39018 DOI: 10.1002/nme.5781 ISI: 000433574800002 Scopus ID: 2-s2.0-85042443902 Local ID: JTHMaterialIS OAI: oai:DiVA.org:hj-39018 DiVA, id: diva2:1191703
2018-03-202018-03-202025-10-13 Bibliographically approved