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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

Recent advances in convex optimization have leveraged computer-assisted proofs to develop optimized first-order methods that improve over classical algorithms. However, each optimized method is specially tailored for a particular problem…

Optimization and Control · Mathematics 2025-07-01 Jinho Bok , Jason M. Altschuler

Joint space trajectory optimization under end-effector task constraints leads to a challenging non-convex problem. Thus, a real-time adaptation of prior computed trajectories to perturbation in task constraints often becomes intractable.…

Fixtures for constraining the movement of parts have been extensively investigated in robotics, since they are essential for using robots in automated manufacturing. This paper deals with the design and optimized synthesis of a special type…

Computational Geometry · Computer Science 2020-05-19 Tom Tsabar , Efi Fogel , Dan Halperin

This paper presents a systematic topology optimization framework for designing a soft pneumatic gripper (SPG), explicitly considering the design-dependent nature of the actuating load. The load is modeled using Darcy's law with an added…

Robotics · Computer Science 2026-05-26 Prabhat Kumar , Chandra Prakash , Josh Pinskier , David Howard , Matthijs Langelaar

Reactive synthesis is the task of automatically deriving a correct implementation from a specification. It is a promising technique for the development of verified programs and hardware. Despite recent advances in terms of algorithms and…

Logic in Computer Science · Computer Science 2021-12-17 Bernd Finkbeiner , Gideon Geier , Noemi Passing

This paper proposes a novel density-based method for structural design considering restrictions of multi-axis machining processes. A new mathematical formulation based on Heaviside function is presented to transform the design field into a…

Optimization and Control · Mathematics 2021-10-05 Hao Deng , Albert C. To

Simulations of knotting and unknotting in polymers or other filaments rely on random processes to facilitate topological changes. Here we introduce a method of \textit{topological steering} to determine the optimal pathway by which a…

Geometric Topology · Mathematics 2025-04-18 Agnese Barbensi , Alexander R. Klotz , Dimos Gkountaroulis

The transient response of power grids to external disturbances influences their stable operation. This paper studies the effect of topology in linear time-invariant dynamics of different power grids. For a variety of objective functions, a…

Systems and Control · Computer Science 2017-03-03 Deepjyoti Deka , Harsha Nagarajan , Scott Backhaus

The need for optimized structures with good mechanical performance for the minimum weight is common in industry. Solid Isotropic Material with Penalization (SIMP) is a Topology Optimization (TO) method offering a trade-off between minimum…

Optimization and Control · Mathematics 2025-03-28 Luis Irastorza-Valera , Ricardo Larraínzar-Garijo , Javier Montoya-Adárraga , Luis Saucedo-Mora

Motivated by applications in machine learning, such as subset selection and data summarization, we consider the problem of maximizing a monotone submodular function subject to mixed packing and covering constraints. We present a tight…

Data Structures and Algorithms · Computer Science 2018-12-20 Eyal Mizrachi , Roy Schwartz , Joachim Spoerhase , Sumedha Uniyal

Topology optimization, a technique to determine where material should be placed within a predefined volume in order to minimize a physical objective, is used across a wide range of scientific fields and applications. A general application…

Plasma Physics · Physics 2023-06-23 Alan A. Kaptanoglu , Gabriel P. Langlois , Matt Landreman

Contact-aware topology optimization faces challenges in robustness, accuracy, and applicability to internal structural surfaces under self-contact. This work builds on the recently proposed barrier-based Incremental Potential Contact (IPC)…

Optimization and Control · Mathematics 2022-08-26 Zeshun Zong , Xuan Li , Jianping Ye , Sian Wen , Yin Yang , Danny M. Kaufman , Minchen Li , Chenfanfu Jiang

In the present work, a new computational framework for structural topology optimization based on the concept of moving deformable components is proposed. Compared with the traditional pixel or node point-based solution framework, the…

Computational Engineering, Finance, and Science · Computer Science 2015-06-23 Xu Guo , Weisheng Zhang , Wenliang Zhong

Solving dynamic topology optimization problems often yields low-performing local optima. Instead of converging towards a design that exploits dynamic mechanisms, a less interesting, mass-driven solution is often generated. This necessitates…

Optimization and Control · Mathematics 2025-09-30 Tom De Weer , Vanessa Cool , Elke Deckers

Successfully synthesizing controllers for complex dynamical systems and specifications often requires leveraging domain knowledge as well as making difficult computational or mathematical tradeoffs. This paper presents a flexible and…

Systems and Control · Computer Science 2019-05-24 Eric S. Kim , Murat Arcak , Sanjit A. Seshia

With the emergence of new photonic and plasmonic materials with optimized properties as well as advanced nanofabrication techniques, nanophotonic devices are now capable of providing solutions to global challenges in energy conversion,…

Topology optimization techniques have been applied in integrated optics and nanophotonics for the inverse design of devices with shapes that cannot be conceived by human intuition. At optical frequencies, these techniques have only been…

Optics · Physics 2022-04-15 Emadeldeen Hassan , Antonio Calà Lesina

A support structure is required to successfully create structural parts in the powder bed fusion process for additive manufacturing. In this study, we present the topology optimization of a support structure that improves the heat…

Computational Engineering, Finance, and Science · Computer Science 2022-01-19 Takao Miki , Shinji Nishiwaki

This paper proposes a finite element method that couples mixed and Lagrange finite elements to efficiently capture stress concentrations in elasticity problems. The method employs conforming mixed finite elements in regions with stress…

Numerical Analysis · Mathematics 2026-04-21 Wei Chen , Jun Hu , Limin Ma , Mingyan Zhang