The Augmented Lagrangian Method as a Framework for Stabilised Methods in Computational Mechanics
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| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s11831-022-09878-6 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7988 |
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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 |
8.891695 |