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An important step in shape optimization with partial differential equation constraints is to adapt the geometry during each optimization iteration. Common strategies are to employ mesh-deformation or re-meshing, where one or the other…

Numerical Analysis · Mathematics 2018-06-27 Jorgen S. Dokken , Simon W. Funke , August Johansson , Stephan Schmidt

Topology design optimization offers tremendous opportunity in design and manufacturing freedoms by designing and producing a part from the ground-up without a meaningful initial design as required by conventional shape design optimization…

Machine Learning · Statistics 2019-01-10 Sharad Rawat , M. H. Herman Shen

Many robotic tasks involving some form of 3D visual perception greatly benefit from a complete knowledge of the working environment. However, robots often have to tackle unstructured environments and their onboard visual sensors can only…

Computer Vision and Pattern Recognition · Computer Science 2022-10-24 Andrea Rosasco , Stefano Berti , Fabrizio Bottarel , Michele Colledanchise , Lorenzo Natale

Lagrangian particle formulations of the large deformation diffeomorphic metric mapping algorithm (LDDMM) only allow for the study of a single shape. In this paper, we introduce and discuss both a theoretical and practical setting for the…

Optimization and Control · Mathematics 2015-03-04 Sylvain Arguillère , Emmanuel Trélat , Alain Trouvé , Laurent Younes

Topology Optimization seeks to find the best design that satisfies a set of constraints while maximizing system performance. Traditional iterative optimization methods like SIMP can be computationally expensive and get stuck in local…

Machine Learning · Computer Science 2023-03-20 Giorgio Giannone , Faez Ahmed

This contribution presents a model order reduction framework for real-time efficient solution of trimmed, multi-patch isogeometric Kirchhoff-Love shells. In several scenarios, such as design and shape optimization, multiple simulations need…

Numerical Analysis · Mathematics 2025-10-10 Margarita Chasapi , Pablo Antolin , Annalisa Buffa

This study presents a topology optimization framework for the design of water cooled heat sinks that incorporate voided lattice structures, formulated using a two-layer Darcy-Forchheimer model. Conventional porous heat sinks often suffer…

Computational Engineering, Finance, and Science · Computer Science 2025-11-29 Tatsuki Saito , Yuto Kikuchi , Kuniharu Ushijima , Kentaro Yaji

Ceramic is a material frequently used in industry because of its favorable properties. Common approaches in shape optimization for ceramic structures aim to minimize the tensile stress acting on the component, as it is the main driver for…

Optimization and Control · Mathematics 2017-05-17 Matthias Bolten , Hanno Gottschalk , Camilla Hahn , Mohamed Saadi

Soft robotic grippers are essential for grasping delicate, geometrically complex objects in manufacturing, healthcare and agriculture. However, existing grippers struggle to grasp feature-rich objects with high topological variability,…

Robotics · Computer Science 2026-01-28 Kurt Enkera , Josh Pinskier , Marcus Gallagher , David Howard

The concept of concurrent material and structure optimization aims at alleviating the computational discovery of optimum microstructure configurations in multiphase hierarchical systems, whose macroscale behavior is governed by their…

Computational Physics · Physics 2022-04-15 Tarun Gangwar , Dominik Schillinger

Interest in components with detailed structures increased with the progress in advanced manufacturing techniques in recent years. Parts with graded lattice elements can provide interesting mechanical, thermal, and acoustic properties…

Computational Engineering, Finance, and Science · Computer Science 2023-06-29 Daniel Hübner , Fabian Wein , Michael Stingl

Functionally Graded Materials (FGMs) made of soft constituents have emerged as promising material-structure systems in potential applications across many engineering disciplines, such as soft robots, actuators, energy harvesting, and tissue…

Computational Engineering, Finance, and Science · Computer Science 2025-07-01 Shiguang Deng , Horacio D. Espinosa , Wei Chen

We discuss a topology optimization problem for an elastoplastic medium. The distribution of material in a region is optimized with respect to a given target functional taking into account compliance. The incremental elastoplastic problem…

Optimization and Control · Mathematics 2020-11-02 Stefano Almi , Ulisse Stefanelli

Finite element methods based on cut-cells are becoming increasingly popular because of their advantages over formulations based on body-fitted meshes for problems with moving interfaces. In such methods, the cells (or elements) which are…

Computational Engineering, Finance, and Science · Computer Science 2022-07-18 Chennakesava Kadapa , Xinyu Wang , Yue Mei

This work concerns a structural topology optimisation problem for 4D printing based on the phase field approach. The concept of 4D printing as a targeted evolution of 3D printed structures can be realised in a two-step process. One first…

Optimization and Control · Mathematics 2023-05-03 Harald Garcke , Kei Fong Lam , Robert Nürnberg , Andrea Signori

We consider a class of liquid crystal free-boundary problems for which both the equilibrium shape and internal configuration of a system must simultaneously be determined, for example in films with air- or fluid-liquid crystal interfaces…

Soft Condensed Matter · Physics 2016-05-05 Andrew DeBenedictis , Timothy J Atherton

The optimization of porous infill structures via local volume constraints has become a popular approach in topology optimization. In some design settings, however, the iterative optimization process converges only slowly, or not at all even…

Computational Engineering, Finance, and Science · Computer Science 2022-03-22 Junpeng Wang , Jun Wu , Rüdiger Westermann

Computer simulations serve as powerful tools for scientists and engineers to gain insights into complex systems. Less costly than physical experiments, computer experiments sometimes involve large number of trials. Conventional design…

Methodology · Statistics 2025-06-06 Xu He , Junpeng Gong , Zhaohui Li

A cost functional involving the eigenvalues of an elastic structure, that is described by a multi-phase-field equation, is optimized. This allows us to handle topology changes and multiple materials. We prove continuity and…

Optimization and Control · Mathematics 2021-10-12 Harald Garcke , Paul Hüttl , Patrik Knopf

We describe algorithms which address two classical problems in lattice geometry: the lattice covering and the simultaneous lattice packing-covering problem. Theoretically our algorithms solve the two problems in any fixed dimension d in the…

Metric Geometry · Mathematics 2007-05-23 Achill Schuermann , Frank Vallentin