Galerkin least squares finite element method for the obstacle problem

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• 作者：Erik Burman^a ; ^{e.burman@ucl.ac.uk} ; Peter Hansbo^b ; Mats G. Larson^c ; Rolf Stenberg^d
• 关键词：Obstacle problem ; Augmented Lagrangian method ; A priori error estimate ; A posteriori error estimate ; Adaptive method
• 刊名：Computer Methods in Applied Mechanics and Engineering
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：313
• 期：Complete
• 页码：362-374
• 全文大小：874 K
• 卷排序：313

文摘

New formulation for the obstacle problem using an augmented Lagrangian formulation. The discrete system is not on the form of a variational inequality. No Lagrange multipliers are needed. The inf–sup condition is circumvented using a formulation reminiscent of the Galerkin least squares method. A priori and a posteriori error analysis.