论文标题

增强拉格朗日方法作为计算力学中稳定方法的框架

The augmented Lagrangian method as a framework for stabilised methods in computational mechanics

论文作者

Burman, Erik, Hansbo, Peter, Larson, Mats G.

论文摘要

在本文中,我们将回顾应用增强Lagrange乘数方法作为生成乘数 - 无稳定方法的一般方法的最新进展。我们首先展示该方法如何生成Galerkin/最小二乘类型方案,以实现等效约束,然后如何扩展该方案以开发新的稳定方法,以实现不平等约束。给出了计算力学中几个不同问题的应用。

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.

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