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L. Pospíšil, T. Světlík, R. Varga and M. Cermak

Department of Mathematics, VSB – Technical University of Ostrava, Czechia

doi:10.4203/ccc.9.10.5

L. Pospíšil, T. Světlík, R. Varga, M. Cermak, "Quadratic Programming Algorithm for Dual Solution of Mortar-based Contact Problems in Linear Elasticity", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 9, Paper 10.5, 2024, doi:10.4203/ccc.9.10.5

Keywords: finite element method, dual formulation, quadratic programming, Matlab, scalable algorithm, numerical solution.

Abstract

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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Front Page Browse CCC CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Conferences ISSN 2753-3239 CCC: 9 PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: P. Iványi, J. Kruis and B.H.V. Topping Paper 10.5 Quadratic Programming Algorithm for Dual Solution of Mortar-based Contact Problems in Linear Elasticity L. Pospíšil, T. Světlík, R. Varga and M. Cermak Department of Mathematics, VSB – Technical University of Ostrava, Czechia doi:10.4203/ccc.9.10.5 Full Bibliographic Reference for this paper L. Pospíšil, T. Světlík, R. Varga, M. Cermak, "Quadratic Programming Algorithm for Dual Solution of Mortar-based Contact Problems in Linear Elasticity", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 9, Paper 10.5, 2024, doi:10.4203/ccc.9.10.5 Keywords: finite element method, dual formulation, quadratic programming, Matlab, scalable algorithm, numerical solution. Abstract 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. download the full-text of this paper (PDF, 11 pages, 1065 Kb) go to the previous paper go to the next paper return to the table of contents return to the volume description
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