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V. Yanes¹, N.-H. Kim², M.A. Sanz¹ and F. Montáns¹

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

doi:10.4203/ccc.14.6.2

V. Yanes, N.-H. Kim, M.A. Sanz, F. Montáns, "An Efficient Multiscale Topology Optimization Framework Using HiCon-FEM", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Sixteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 14, Paper 6.2, 2026, doi:10.4203/ccc.14.6.2

Keywords: HiCon-FEM, SIMP, topology optimization, hierarchical condensation, multiscale optimization, Gaussian filter.

Abstract

This paper presents a multiscale topology optimization framework that combines the classical Solid Isotropic Material with Penalization (SIMP) method with the Hierar- chical Condensation Finite Element Method (HiCon-FEM). The aim is to preserve the simplicity and robustness of density-based topology optimization while reducing the computational cost associated with the repeated solution of large fi nite element systems. The formulation is solved with an Optimality Criteria update scheme, and a Gaussian convolution-based fi lter is employed as a scalable regularization strategy for large meshes. The main contribution is the use of HiCon-FEM as a drop-in re- placement for the standard fi nite element solver. Numerical results for the MBB beam benchmark show speedups of up to 40.0× for a 900 × 300 discretization and up to 35.0× for a 3000 × 2000 discretization while preserving the main topological features of the classical SIMP solutions.

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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: 14 PROCEEDINGS OF THE SIXTEENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: P. Iványi, J. Kruis and B.H.V. Topping Paper 6.2 An Efficient Multiscale Topology Optimization Framework Using HiCon-FEM V. Yanes¹, N.-H. Kim², M.A. Sanz¹ and F. Montáns¹ ¹Escuela Técnica Superior de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Spain ²Department of Mechanical and Aerospace Engineering, University of Florida, USA doi:10.4203/ccc.14.6.2 Full Bibliographic Reference for this paper V. Yanes, N.-H. Kim, M.A. Sanz, F. Montáns, "An Efficient Multiscale Topology Optimization Framework Using HiCon-FEM", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Sixteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 14, Paper 6.2, 2026, doi:10.4203/ccc.14.6.2 Keywords: HiCon-FEM, SIMP, topology optimization, hierarchical condensation, multiscale optimization, Gaussian filter. Abstract This paper presents a multiscale topology optimization framework that combines the classical Solid Isotropic Material with Penalization (SIMP) method with the Hierar- chical Condensation Finite Element Method (HiCon-FEM). The aim is to preserve the simplicity and robustness of density-based topology optimization while reducing the computational cost associated with the repeated solution of large fi nite element systems. The formulation is solved with an Optimality Criteria update scheme, and a Gaussian convolution-based fi lter is employed as a scalable regularization strategy for large meshes. The main contribution is the use of HiCon-FEM as a drop-in re- placement for the standard fi nite element solver. Numerical results for the MBB beam benchmark show speedups of up to 40.0× for a 900 × 300 discretization and up to 35.0× for a 3000 × 2000 discretization while preserving the main topological features of the classical SIMP solutions. download the full-text of this paper (PDF, 2623 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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