Quadratic Programming Algorithm for Dual Solution of Mortar-based Contact Problems in Linear Elasticity

This paper presents an investigation into the numerical solution of linear elasticity contact problems utilizing the Finite Element Method for discretization, the Mortar method for handling non-penetration conditions, dual formulation for problem reduction, and optimal Quadratic Programming algorithms for scalable solution of dual problem.The study outlines the implementation of a computational pipeline for solving such problems and evaluates its performance on selected benchmark.The paper serves as an overview of the technique and can be regarded as a foundation for future enhancements or modifications to individual steps.