The augmented Lagrangian method as a framework for stabilised methods in computational mechanics
Numerical Analysis
2022-07-04 v1 Numerical Analysis
Abstract
In this paper we will review recent advances in the application of the augmented Lagrange multiplier method as a general approach for generating multiplier--free stabilised methods. We first show how the method generates Galerkin/Least Squares type schemes for equality constraints and then how it can be extended to develop new stabilised methods for inequality constraints. Application to several different problems in computational mechanics is given.
Cite
@article{arxiv.2207.00294,
title = {The augmented Lagrangian method as a framework for stabilised methods in computational mechanics},
author = {Erik Burman and Peter Hansbo and Mats G. Larson},
journal= {arXiv preprint arXiv:2207.00294},
year = {2022}
}