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Peter Hansbo: [WS] Augmented Lagrangian methods for contact problems

Date: 2025-12-09

Time: 14:30 - 15:00

Speaker
Peter Hansbo, Jönköping University

Abstract
This talk addresses the problem of friction-free contact between two elastic bodiesusing an augmented Lagrangian method that provides computational convenience by reformulating the contact problem as a nonlinear variational equality. In particular, we present a Nitsche-based method incorporating a hybrid displacement variable defined on an interstitial layer.This approach enables complete decoupling of the contact domains, with interaction occurring exclusively through the interstitial layer. The layer is independently approximated, eliminating the need to handle intersections between unrelated meshes. Additionally, the method supports introducing an independent model on the interface, e.g., in the form of a membrane or a plate.