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Differentiable simulation establishes the mathematical foundation for solving challenging inverse problems in computer graphics and robotics, such as physical system identification and inverse dynamics control. However, rigor in frictional…

Graphics · Computer Science 2026-05-19 Ziqiu Zeng , Gang Yang , Zhenhao Huang , Bingyang Zhou , Yulin Li , Jason Pho , Siyuan Luo , Fan Shi

Incremental Potential Contact (IPC) enables robust, contact-rich simulation by casting elasticity and contact as a single energy minimization problem, but high-performance IPC pipelines are typically built from specialized kernels and…

Graphics · Computer Science 2026-05-25 Xuan Tang , Kemeng Huang , Gilbert Bernstein , Minchen LI , Tzumao Li

This paper presents a heterogeneous adaptive mesh refinement (AMR) framework for efficient simulation of moderately stiff reactive problems. This framework features an elaborate subcycling-in-time algorithm along with a specialized…

Computational Physics · Physics 2025-06-04 Yuqi Wang , Yadong Zeng , Ralf Deiterding , Jianhan Liang

This paper pushes the performance of cloth simulation, making the simulation interactive even for high-resolution garment models while keeping every triangle untangled. The penetration-free guarantee is inspired by the interior point…

Graphics · Computer Science 2024-10-01 Lei Lan , Zixuan Lu , Jingyi Long , Chun Yuan , Xuan Li , Xiaowei He , Huamin Wang , Chenfanfu Jiang , Yin Yang

We present a framework for the simulation of rigid and deformable bodies in the presence of contact and friction. Our method is based on a non-smooth Newton iteration that solves the underlying nonlinear complementarity problems (NCPs)…

The immersed boundary (IB) method has become a leading approach in cardiac fluid-structure interaction (FSI) modeling due to its ability to handle large deformations and complex geometries without requiring mesh regeneration. However, the…

Computational Physics · Physics 2025-09-16 Pengfei Ma , Li Cai , Xuan Wang , Hao Gao

Accurate frictional contact is critical in simulating the assembly of rod-like structures in the practical world, such as knots, hairs, flagella, and more. Due to their high geometric nonlinearity and elasticity, rod-on-rod contact remains…

Graphics · Computer Science 2024-02-21 Dezhong Tong , Andrew Choi , Jungseock Joo , M. Khalid Jawed

Differentiable model predictive control (MPC) offers a powerful framework for combining learning and control. However, its adoption has been limited by the inherently sequential nature of traditional optimization algorithms, which are…

Optimization and Control · Mathematics 2025-10-08 Emre Adabag , Marcus Greiff , John Subosits , Thomas Lew

The simulation of multi-body systems with frictional contacts is a fundamental tool for many fields, such as robotics, computer graphics, and mechanics. Hard frictional contacts are particularly troublesome to simulate because they make the…

Robotics · Computer Science 2022-04-19 Bilal Hammoud , Luca Olivieri , Ludovic Righetti , Justin Carpentier , Andrea Del Prete

We present the numerical methods and GPU-accelerated implementation underlying a Total Lagrangian finite element framework for finite-deformation flexible multibody dynamics, introduced in the companion paper [1]. The framework supports…

Computational Engineering, Finance, and Science · Computer Science 2026-05-04 Zhenhao Zhou , Ruochun Zhang , Ganesh Arivoli , Dan Negrut

Barrier potentials gained popularity as a means for robust contact handling in physical modeling and for modeling self-avoiding shapes. The key to the success of these approaches is adherence to geometric constraints, i.e., avoiding…

Graphics · Computer Science 2025-05-29 Zizhou Huang , Max Paik , Zachary Ferguson , Daniele Panozzo , Denis Zorin

Step-and-project is a popular way to simulate non-penetrated deformable bodies in physically-based animation. First integrating the system in time regardless of contacts and post resolving potential intersections practically strike a good…

Graphics · Computer Science 2022-11-09 Tianyu Wang , Jiong Chen , Dongping Li , Xiaowei Liu , Huamin Wang , Kun Zhou

We introduce a barrier-free optimization framework for non-penetration elastodynamic simulation that matches the robustness of Incremental Potential Contact (IPC) while overcoming its two primary efficiency bottlenecks: (1) reliance on…

Graphics · Computer Science 2026-05-29 Juntian Zheng , Zhaofeng Luo , Minchen Li

We propose a GPU-based iterative method for accelerated elastodynamic simulation with the log-barrier-based contact model. While Newton's method is a conventional choice for solving the interior-point system, the presence of ill-conditioned…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-14 Dewen Guo , Minchen Li , Yin Yang , Guoping Wang , Sheng Li

We present a novel parallel algorithm for cloth simulation that exploits multiple GPUs for fast computation and the handling of very high resolution meshes. To accelerate implicit integration, we describe new parallel algorithms for sparse…

Graphics · Computer Science 2020-08-05 Cheng Li , Min Tang , Ruofeng Tong , Ming Cai , Jieyi Zhao , Dinesh Manocha

Soft lubricated contacts exhibit complex interfacial behaviours governed by the coupled effects of multiscale surface roughness and non-linear fluid-solid interactions. Accurately capturing this interplay across thin-film flows is…

Soft Condensed Matter · Physics 2025-11-12 Qian Wang , Suhaib Ardah , Tom Reddyhoff , Daniele Dini

We present a novel convex formulation that weakly couples the Material Point Method (MPM) with rigid body dynamics through frictional contact, optimized for efficient GPU parallelization. Our approach features an asynchronous time-splitting…

Robotics · Computer Science 2025-07-08 Chang Yu , Wenxin Du , Zeshun Zong , Alejandro Castro , Chenfanfu Jiang , Xuchen Han

iPIC3D is a widely used massively parallel Particle-in-Cell code for the simulation of space plasmas. However, its current implementation does not support execution on multiple GPUs. In this paper, we describe the porting of iPIC3D particle…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-27 Chaitanya Prasad Sishtla , Steven W. D. Chien , Vyacheslav Olshevsky , Erwin Laure , Stefano Markidis

Pressure Field Contact (PFC) was recently introduced as a method for detailed modeling of contact interface regions at rates much faster than elasticity-theory models, while at the same time predicting essential trends and capturing rich…

Computational Engineering, Finance, and Science · Computer Science 2022-06-10 Joseph Masterjohn , Damrong Guoy , John Shepherd , Alejandro Castro

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