Multigrid Methods for the Solution of Nonlinear Variational Inequalities

In this research, we investigate the numerical solution of second member problems that depend on the solution obtained through a multigrid method. Specifically, we focus on the application of multigrid techniques for solving nonlinear variational inequalities. The main objective is to establish the uniform convergence of the multigrid algorithm. To achieve this, we employ elementary subdifferential calculus and draw insights from the convergence theory of nonlinear multigrid methods.

• multigrid methods
• nonlinear variational inequalities
• uniform convergence
• subdifferential calculus

• Advanced Numerical Methods in Computational Mathematics
• Contact Mechanics and Variational Inequalities
• Optimization and Variational Analysis
• multigrid methods
• nonlinear variational inequalities
• uniform convergence
• subdifferential calculus
• Computational Mechanics
• Computational Theory and Mathematics
• Engineering
• Computer Science