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.
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Pospíšil et al. (2024) studied this question.
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