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We present a convex formulation of compliant frictional contact and a robust, performant method to solve it in practice. By analytically eliminating contact constraints, we obtain an unconstrained convex problem. Our solver has proven…

Computational Engineering, Finance, and Science · Computer Science 2022-06-24 Alejandro Castro , Frank Permenter , Xuchen Han

Surface tension has a strong influence on the shape of fluid interfaces. We propose a method to calculate the corresponding forces efficiently. In contrast to several previous approaches, we discriminate to this end between surface and…

Computational Physics · Physics 2019-12-05 Fernando Zorrilla , Johannes Sappl , Wolfgang Rauch , Matthias Harders

This article's main scope is the presentation of a computational method for the simulation of contact problems within the finite element method involving complex and rough surfaces. The approach relies on the MPJR (eMbedded Profile for…

Soft Condensed Matter · Physics 2025-04-03 Jacopo Bonari , Marco Paggi , Daniele Dini

In this paper, we introduce a novel convex formulation that seamlessly integrates the Material Point Method (MPM) with articulated rigid body dynamics in frictional contact scenarios. We extend the linear corotational hyperelastic model…

Robotics · Computer Science 2024-10-21 Zeshun Zong , Chenfanfu Jiang , Xuchen Han

The entanglement entropy probing novel phases and phase transitions numerically via quantum Monte Carlo has made great achievements in large-scale interacting spin/boson systems. In contrast, the numerical exploration in interacting fermion…

Statistical Mechanics · Physics 2025-05-15 Weilun Jiang , Gaopei Pan , Zhe Wang , Bin-Bin Mao , Heng Shen , Zheng Yan

Object kinetic Montecarlo (OkMC) is a fundamental tool for modeling defect evolution in volumes and times far beyond atomistic models. The elastic interaction between defects is classically considered using a dipolar approximation but this…

Materials Science · Physics 2024-03-15 Rodrigo Santos-Güemes , Christophe J. Ortiz , Javier Segurado

It is significantly challenging to obtain accurate contact forces in peridynamics (PD) simulations due to the difficulty of surface particles identification, particularly for complex geometries. Here, an improved point-to-surface contact…

Computational Engineering, Finance, and Science · Computer Science 2025-06-19 Haoran Zhang , Lisheng Liu , Xin Lai , Jun Li

The computational modeling of many engineering problems using the Finite Element method involves the modeling of two or more bodies that meet through an interface. The interface can be physical, as in multi-physics and contact problems, or…

Numerical Analysis · Computer Science 2009-09-30 G. Haikal

We propose an algorithm for accurate, systematic and scalable computation of interatomic forces within the auxiliary-field Quantum Monte Carlo (AFQMC) method. The algorithm relies on the Hellman-Fenyman theorem, and incorporates Pulay…

Computational Physics · Physics 2018-05-30 Mario Motta , Shiwei Zhang

Efficient and robust trajectories play a crucial role in contact-rich manipulation, which demands accurate mod- eling of object-robot interactions. Many existing approaches rely on point contact models due to their computational effi-…

Robotics · Computer Science 2026-02-04 Haegu Lee , Yitaek Kim , Casper Hewson Rask , Christoffer Sloth

Contact algorithm between different bodies plays an important role in solving collision problems. Usually it is not easy to be treated very well. Several ones for material point method were proposed by Bardenhangen, Brackbill, and…

Computational Physics · Physics 2015-05-13 Xiaofei Pan , Aiguo Xu , Guangcai Zhang , Jianshi Zhu , Shang Ma , Xiong Zhang

In this paper, we propose a general analysis framework for inexact power iteration, which can be used to efficiently solve high dimensional eigenvalue problems arising from quantum many-body problems. Under the proposed framework, we…

Numerical Analysis · Mathematics 2018-06-29 Jianfeng Lu , Zhe Wang

We present a computational framework for simulating filaments interacting with rigid bodies through contact. Filaments are challenging to simulate due to their codimensionality, i.e., they are one-dimensional structures embedded in…

Robotics · Computer Science 2025-09-18 Wei-Chen Li , Glen Chou

Retrieving rich contact information from robotic tactile sensing has been a challenging, yet significant task for the effective perception of object properties that the robot interacts with. This work is dedicated to developing an algorithm…

Robotics · Computer Science 2019-06-25 Yazhan Zhang , Zicheng Kan , Yang Yang , Alexander Yu Tse , Michael Yu Wang

Modeling contact mechanics with high contrast coefficients presents significant mathematical and computational challenges, especially in achieving strongly symmetric stress approximations for mixed formulations. Due to the inherent…

Numerical Analysis · Mathematics 2026-02-17 Eric T. Chung , Hyea Hyun Kim , Xiang Zhong

The basic idea of fast Monte Carlo (MC) simulations is to perform particle-based MC simulations with the excluded-volume interactions modeled by "soft" repulsive potentials that allow particle overlapping. This gives much faster system…

Soft Condensed Matter · Physics 2012-01-24 Qiang Wang

A hybrid Monte Carlo (HMC) approach is employed to quantify the influence of inelastic deformation on the microstructural evolution of polycrystalline materials. This approach couples a time explicit material point method (MPM) for…

Materials Science · Physics 2015-05-19 Liangzhe Zhang , Remi Dingreville , Timothy Bartel , Mark T. Lusk

A number of problems arise when long-range forces, such as those governed by Bessel functions, are used in particle-particle simulations. If a simple cut-off for the interaction is used, the system may find an equilibrium configuration at…

Computational Physics · Physics 2009-11-06 Hans Fangohr , Andrew R. Price , Simon J. Cox , Peter A. J. de Groot , Geoffrey J. Daniell , Ken S. Thomas

In this work we consider the hybrid Data-Driven Computational Mechanics (DDCM) approach, in which a smooth constitutive manifold is reconstructed to obtain a well-behaved nonlinear optimization problem (NLP) rather than the much harder…

Numerical Analysis · Mathematics 2023-11-08 Cristian Guillermo Gebhardt , Senta Lange , Marc Christian Steinbach

We suggest a novel shape matching algorithm for three-dimensional surface meshes of disk or sphere topology. The method is based on the physical theory of nonlinear elasticity and can hence handle large rotations and deformations.…

Computational Geometry · Computer Science 2015-07-29 Konrad Simon , Sameer Sheorey , David Jacobs , Ronen Basri
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