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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

The approximate computation of all gravitational forces between $N$ interacting particles via the fast multipole method (FMM) can be made as accurate as direct summation, but requires less than $\mathcal{O}(N)$ operations. FMM groups…

Instrumentation and Methods for Astrophysics · Physics 2014-05-12 Walter Dehnen

This paper extends the Finite Elements with Switch Detection and Jumps (FESD-J) [1] method to problems of rigid body dynamics involving patch contacts. The FESD-J method is a high accuracy discretization scheme suitable for use in direct…

Optimization and Control · Mathematics 2024-03-22 Christian Dietz , Armin Nurkanović , Sebastian Albrecht , Moritz Diehl

Accurate numerical simulations of interaction between fluid and solid play an important role in applications. The task is challenging in practical scenarios as the media are usually highly heterogeneous with very large contrast. To overcome…

Numerical Analysis · Mathematics 2020-05-15 Xia Wang , Eric Chung , Shubin Fu , Zhaoqin Huang

We present an application of Physics-Informed Neural Networks to handle MultiPhase-Field simulations of microstructure evolution. It has been showcased that a combination of optimization techniques extended and adapted from the PINNs…

Materials Science · Physics 2024-09-04 Seifallah Elfetni , Reza Darvishi Kamachali

We consider a poromechanics model including frictionless contact mechanics. The resulting model consists of the Biot equations with contact boundary conditions leading to a variational inequality modelling mechanical deformations coupled to…

Numerical Analysis · Mathematics 2024-07-19 Tameem Almani , Kundan Kumar

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

This letter describes an incremental multimodal surface mapping methodology, which represents the environment as a continuous probabilistic model. This model enables high-resolution reconstruction while simultaneously compressing spatial…

Robotics · Computer Science 2024-04-18 Kshitij Goel , Wennie Tabib

We investigate hp-stabilization for variational inequalities and boundary element methods based on the approach introduced by Barbosa and Hughes for finite elements. Convergence of a stabilized mixed boundary element method is shown for…

Numerical Analysis · Mathematics 2018-03-08 Lothar Banz , Heiko Gimperlein , Abderrahman Issaoui , Ernst P. Stephan

The closest point method (Ruuth and Merriman, J. Comput. Phys. 227(3):1943-1961, [2008]) is an embedding method developed to solve a variety of partial differential equations (PDEs) on smooth surfaces, using a closest point representation…

Numerical Analysis · Mathematics 2024-12-20 A. Petras , L. Ling , C. Piret , S. J. Ruuth

In this paper, we propose a novel iterative multiscale framework for solving high-contrast contact problems of Signorini type. The method integrates the constrained energy minimizing generalized multiscale finite element method (CEM-GMsFEM)…

Numerical Analysis · Mathematics 2025-10-28 Zishang Li , Changqing Ye , Eric T. Chung

In this paper a multi-objective mathematical model has been used to optimize grinding parameters include workpiece speed, depth of cut and wheel speed which highly affect the final surface quality. The mathematical model of the optimization…

Other Computer Science · Computer Science 2022-03-15 Meysam Mahjoob

In this paper, we propose a stabilised finite element method for the numerical solution of contact between a small deformation elastic membrane and a rigid obstacle. We limit ourselves to friction--free contact, but the formulation is…

Numerical Analysis · Mathematics 2017-11-15 Erik Burman , Peter Hansbo , Mats G. Larson

The hyperelastic materials would contribute to the intricacies of rough surface contact, primarily due to the heightened nonlinearity caused by stress concentration. In our previous research, an incremental contact model tailored for…

Soft Condensed Matter · Physics 2024-03-22 Chunyun Jiang , Yanbin Zheng

We develop a novel constitutive modeling approach for the analysis of fracture propagation in quasi-brittle materials using the Material Point Method. The kinematics of constitutive models is enriched with an additional mode of localized…

Computational Physics · Physics 2014-06-06 Giang Dinh Nguyen

Modeling and direct numerical simulation of particle-laden flows have a tremendous variety of applications in science and engineering across a vast spectrum of scales from pollution dispersion in the atmosphere, to fluidization in the…

Elasticity theory is an important component of continuum mechanics and has had widely spread applications in science and engineering. Material interfaces are ubiquity in nature and man-made devices, and often give rise to discontinuous…

Numerical Analysis · Mathematics 2014-12-17 Bao Wang , Kelin Xia , Guo-Wei Wei

A novel implementation of the traditional node-to-node Coulomb contact-friction problem is presented that utilizes run-time parameter updates on conventional elasto-plastic elements. The two-noded elements are defined by an independent…

Applied Physics · Physics 2025-02-27 Asifur Rahman , Kevin R. Mackie

We present several improvements of the infinite matrix product state (iMPS) algorithm for finding ground states of one-dimensional quantum systems with long-range interactions. As a main new ingredient we introduce the superposed…

Quantum Physics · Physics 2013-03-19 V. Nebendahl , W. Dür

Dynamic shearing banding and fracturing in unsaturated porous media is a significant problem in engineering and science. This article proposes a multiphase micro-periporomechanics (uPPM) paradigm for modeling dynamic shear banding and…

Numerical Analysis · Mathematics 2024-01-10 Hossein Pashazad , Xiaoyu Song
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