A Uzawa algorithm with multigrid solver for a bilateral obstacle problem

作者：

Highlights：

• A full numerical solution for a bilateral obstacle problem, based on a mixed formulation of the problem, is developed.

• A Uzawa type algorithm combined with a multigrid solver is proposed to solve the discrete problem.

• Introduction of a Lagrange multiplier to characterize the free boundary of the problem.

• To illustrate the performance of the method some numerical examples are given.

摘要

•A full numerical solution for a bilateral obstacle problem, based on a mixed formulation of the problem, is developed.•A Uzawa type algorithm combined with a multigrid solver is proposed to solve the discrete problem.•Introduction of a Lagrange multiplier to characterize the free boundary of the problem.•To illustrate the performance of the method some numerical examples are given.

论文关键词：Variational inequality,Obstacle problem,Mixed formulation,Approximation

论文评审过程：Received 11 May 2020, Revised 11 July 2020, Accepted 19 July 2020, Available online 4 August 2020, Version of Record 4 August 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125553