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V. Yanes¹, N.-H. Kim² and F.J. Montans¹

¹Escuela Técnica Superior de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Spain
²Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, United States

V. Yanes, N.-H. Kim, F.J. Montans, "HiCon-FEM: A Hierarchical Condensation Framework for Accelerated Topology Optimization", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Seventh International Conference on Artificial Intelligence, Soft Computing, Machine Learning and Optimization in Engineering", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 11, Paper 5.1, 2025,

Keywords: topology optimization, finite element method, hierarchical basis, model order reduction, structural design, static condensation.

Abstract

This work introduces a finite element framework to accelerate density-based topology optimization through reduced hierarchical bases and condensation. The mesh has microelements embeded into macroelements. The method projects fine-scale displacements onto a reduced basis that consists of boundary and internal modes, and performs the elimination of internal degrees of freedom at the macroelement level prior to global assembly. This results in a significantly smaller linear system while preserving compatibility with the standard SIMP optimization loop. The method requires no modifications to the optimization algorithm and remains robust across different filtering strategies. Through classical benchmark examples, the method demonstrates its ability to deliver high-resolution, mechanically accurate designs with reduced computational effort, making it a practical choice for large-scale topology optimization problems.

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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: 11 PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE, SOFT COMPUTING, MACHINE LEARNING AND OPTIMIZATION IN ENGINEERING Edited by: P. Iványi, J. Kruis and B.H.V. Topping Paper 5.1 HiCon-FEM: A Hierarchical Condensation Framework for Accelerated Topology Optimization V. Yanes¹, N.-H. Kim² and F.J. Montans¹ ¹Escuela Técnica Superior de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Spain ²Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, United States Full Bibliographic Reference for this paper V. Yanes, N.-H. Kim, F.J. Montans, "HiCon-FEM: A Hierarchical Condensation Framework for Accelerated Topology Optimization", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Seventh International Conference on Artificial Intelligence, Soft Computing, Machine Learning and Optimization in Engineering", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 11, Paper 5.1, 2025, Keywords: topology optimization, finite element method, hierarchical basis, model order reduction, structural design, static condensation. Abstract This work introduces a finite element framework to accelerate density-based topology optimization through reduced hierarchical bases and condensation. The mesh has microelements embeded into macroelements. The method projects fine-scale displacements onto a reduced basis that consists of boundary and internal modes, and performs the elimination of internal degrees of freedom at the macroelement level prior to global assembly. This results in a significantly smaller linear system while preserving compatibility with the standard SIMP optimization loop. The method requires no modifications to the optimization algorithm and remains robust across different filtering strategies. Through classical benchmark examples, the method demonstrates its ability to deliver high-resolution, mechanically accurate designs with reduced computational effort, making it a practical choice for large-scale topology optimization problems. download the full-text of this paper (PDF, 1523 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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