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Weak Imposition of Signorini Boundary Conditions on the Boundary Element Method

Burman, E; Frei, S; Scroggs, MW; (2020) Weak Imposition of Signorini Boundary Conditions on the Boundary Element Method. SIAM Journal on Numerical Analysis (SINUM) , 58 (4) pp. 2334-2350. 10.1137/19M1281721. Green open access

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Abstract

We derive and analyze a boundary element formulation for boundary conditions involving inequalities. In particular, we focus on Signorini contact conditions. The Calderón projector is used for the system matrix, and boundary conditions are weakly imposed using a particular variational boundary operator designed using techniques from augmented Lagrangian methods. We present a complete numerical a priori error analysis and present some numerical examples to illustrate the theory.

Type: Article
Title: Weak Imposition of Signorini Boundary Conditions on the Boundary Element Method
Open access status: An open access version is available from UCL Discovery
DOI: 10.1137/19M1281721
Publisher version: https://doi.org/10.1137/19M1281721
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Science & Technology, Physical Sciences, Mathematics, Applied, Mathematics, boundary element methods, Nitsche's method, Signorini problem, Calderon projector, CONTACT PROBLEMS, PROJECTION, BEM
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10111153
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