Application of a finite element method for variational inequalities

Journal of inequalities and applications

Mehmet Ali Akinlar¹ 

关键词: augmented Lagrangian multipliers method;    variational inequalities;    optimization;    finite element method;   

DOI  :  10.1186/1029-242X-2013-45

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper we explore the application of a finite element method (FEM) to the inequality and Laplacian constrained variational optimization problems. First, we illustrate the connection between the optimization problem and elliptic variational inequalities; secondly, we prove the existence of the solution via the augmented Lagrangian multipliers method. A triangular type FEM is employed in the numerical calculations. Computational results indicate that the present finite element method is a highly efficient technique in these sorts of variational problems involving inequalities. AMS Subject Classification: 35J86, 26D10.

【 授权许可】

CC BY