Augmented Lagrangian Method for Thin Plates with Signorini Boundaries
Erik Burman, Peter Hansbo, Mats G. Larson
TL;DR
This paper introduces an augmented Lagrangian approach combined with $C^1$-continuous approximations to effectively solve the Kirchhoff plate problem with Signorini boundary conditions, improving computational handling of contact constraints.
Contribution
The paper presents a novel combination of $C^1$-continuous finite element approximations with an augmented Lagrangian method for Signorini boundary conditions in Kirchhoff plates.
Findings
Effective handling of Signorini boundary conditions in plate problems.
Enhanced convergence properties of the augmented Lagrangian method.
Potential for improved numerical stability in contact mechanics simulations.
Abstract
We consider -continuous approximations of the Kirchhoff plate problem in combination with a mesh dependent augmented Lagrangian method on a simply supported Signorini boundary.
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