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The Augmented Lagrangian Method as a Framework for Stabilised Methods in Computational Mechanics

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Main Authors: Erik, Burman, Peter, Hansbo, Mats G., Larson
Format: Book
Language:English
Published: Springer 2023
Subjects:
Augmented Lagrangian Method
Computational Mechanics
Online Access:https://link.springer.com/article/10.1007/s11831-022-09878-6
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7988
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spelling oai:localhost:PNK-79882023-04-17T04:19:08Z The Augmented Lagrangian Method as a Framework for Stabilised Methods in Computational Mechanics Erik, Burman Peter, Hansbo Mats G., Larson Augmented Lagrangian Method Computational Mechanics CC BY In this paper we will present a review of recent advances in the application of the augmented Lagrange multiplier method as a general approach for generating multiplier-free stabilised methods. The augmented Lagrangian method consists of a standard Lagrange multiplier method augmented by a penalty term, penalising the constraint equations, and is well known as the basis for iterative algorithms for constrained optimisation problems. Its use as a stabilisation methods in computational mechanics has, however, only recently been appreciated. 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. 2023-04-17T04:19:08Z 2023-04-17T04:19:08Z 2023 Book https://link.springer.com/article/10.1007/s11831-022-09878-6 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7988 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic Augmented Lagrangian Method
Computational Mechanics
spellingShingle Augmented Lagrangian Method
Computational Mechanics
Erik, Burman
Peter, Hansbo
Mats G., Larson
The Augmented Lagrangian Method as a Framework for Stabilised Methods in Computational Mechanics
description CC BY
format Book
author Erik, Burman
Peter, Hansbo
Mats G., Larson
author_facet Erik, Burman
Peter, Hansbo
Mats G., Larson
author_sort Erik, Burman
title The Augmented Lagrangian Method as a Framework for Stabilised Methods in Computational Mechanics
title_short The Augmented Lagrangian Method as a Framework for Stabilised Methods in Computational Mechanics
title_full The Augmented Lagrangian Method as a Framework for Stabilised Methods in Computational Mechanics
title_fullStr The Augmented Lagrangian Method as a Framework for Stabilised Methods in Computational Mechanics
title_full_unstemmed The Augmented Lagrangian Method as a Framework for Stabilised Methods in Computational Mechanics
title_sort augmented lagrangian method as a framework for stabilised methods in computational mechanics
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s11831-022-09878-6
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7988
_version_ 1763452659702956032
score 8.881002

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