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The peridynamic theory brings advantages in dealing with discontinuities, dynamic loading, and non-locality. The integro-differential formulation of peridynamics poses challenges to numerical solutions of complicated and practical problems.…

数值分析 · 数学 2021-06-01 Xue Liang , Linjuan Wang , Jifeng Xu , Jianxiang Wang

A novel multi-scale finite element formulation for contact mechanics between nominally smooth but microscopically rough surfaces is herein proposed. The approach integrates the interface finite element method (FEM) for modelling interface…

计算工程、金融与科学 · 计算机科学 2025-04-03 Jacopo Bonari , Maria R. Marulli , Nora Hagmeyer , Matthias Mayr , Alexander Popp , Marco Paggi

This paper presents an axisymmetric Galerkin boundary element method (BEM) for modeling eddy-current interactions between excitation coils and conductive objects. The formulation derives boundary integral equations from the Stratton-Chu…

数值分析 · 数学 2026-01-28 Yao Luo

The previously reported neBEM solver has been used to solve electrostatic problems having three-dimensional edges and corners in the physical domain. Both rectangular and triangular elements have been used to discretize the geometries under…

计算物理 · 物理学 2008-05-13 Supratik Mukhopadhyay , Nayana Majumdar

High-fidelity numerical methods that model the physical layout of a device are essential for the design of many technologies. For methods that characterize electromagnetic effects, these numerical methods are referred to as computational…

To solve boundary integral equations for potential problems using collocation Boundary Element Method (BEM) on smooth curved 3D geometries, an analytical singularity extraction technique is employed. By adopting the isoparametric approach,…

数值分析 · 数学 2022-07-20 Tadej Kanduc

Constant potential method molecular dynamics simulation (CPM MD) enables the accurate modelling of atomistic electrode charges when studying the electrode-electrolyte interface at the nanoscale. Here we extend the theoretical framework of…

材料科学 · 物理学 2023-05-26 Shern Ren Tee , Debra J. Searles

A non-singular formulation of the boundary integral method (BIM) is presented for the Laplace equation whereby the well-known singularities that arise from the fundamental solution are eliminated analytically. A key advantage of this…

数值分析 · 数学 2019-10-04 Q. Sun , E. Klaseboer , B. C. Khoo , D. Y. C. Chan

Electrical machines commonly consist of moving and stationary parts. The field simulation of such devices can be very demanding if the underlying numerical scheme is solely based on a domain discretization, such as in case of the Finite…

计算工程、金融与科学 · 计算机科学 2017-09-18 Lars Kielhorn , Thomas Rüberg , Jürgen Zechner

Closed form expressions for three-dimensional potential and force field due to singularities distributed on a finite flat surface have been used to develop a fast and accurate BEM solver. The exact expressions have been investigated in…

计算物理 · 物理学 2007-05-23 S. Mukhopadhyay , N. Majumdar

The paper outlines some recent developments of the boundary element method (BEM) that makes it more user friendly and suitable for a realistic simulation in geomechanics, especially for underground excavations and tunnelling. The…

数值分析 · 数学 2021-01-25 Gernot Beer , Christian Duenser , Vincenzo Mallardo

In this paper, a generalized macromodeling approach is presented to simulate complex electromagnetic (EM) surfaces consisting of unit cells with connected conductors. Macromodels of each unit cell are produced by applying the equivalence…

数值分析 · 数学 2022-08-17 Reza Gholami , Parinaz Naseri , Piero Triverio , Sean V. Hum

Electrical machines employing superconductors are attractive solutions in a variety of application domains. Numerical models are powerful and necessary tools to optimize their design and predict their performance. The electromagnetic…

超导电性 · 物理学 2018-07-04 Roberto Brambilla , Francesco Grilli , Luciano Martini , Marco Bocchi , Giuliano Angeli

The problem of quasistatic and rate-independent evolution of elastic-plastic-brittle delamination at small strains is considered. Delamination processes for linear elastic bodies glued by an adhesive to each other or to a rigid outer…

数值分析 · 数学 2012-12-12 C. G. Panagiotopoulos , V. Mantic , T. Roubicek

The presented paper concentrates on the boundary element method (BEM) for the heat equation in three spatial dimensions. In particular, we deal with tensor product space-time meshes allowing for quadrature schemes analytic in time and…

数值分析 · 数学 2021-11-23 Jan Zapletal , Raphael Watschinger , Günther Of , Michal Merta

The surface Boundary Element Method (BEM) is one of the most commonly employed formulations to solve the forward problem in electroencephalography, but the applicability of its classical incarnations is lamentably limited to piece-wise…

图像与视频处理 · 电气工程与系统科学 2020-04-27 Maxime Y. Monin , Lyes Rahmouni , Francesco P. Andriulli

The prediction of a dielectric breakdown in a high-voltage device is based on criteria that evaluate the electric field along field lines. Therefore it is necessary to efficiently compute the electric field at arbitrary points in space. A…

数值分析 · 数学 2020-11-03 Cedric Münger , Steffen Börm , Jörg Ostrowski

This work presents a Boundary Element Method (BEM) formulation for contactless electromagnetic field assessments. The new scheme is based on a regularized BEM approach that requires the use of electric measurements only. The regularization…

医学物理 · 物理学 2017-03-08 Rajendra Mitharwal , Francesco P. Andriulli

We propose a new method for sampling from stationary Gaussian random field on a grid which is not regular but has a regular block structure which is often the case in applications. The introduced block circulant embedding method (BCEM) can…

统计计算 · 统计学 2016-06-08 M. Park , M. V. Tretyakov

There is some literature on the application of linear boundary element method (BEM) for real-time simulation of biological organs. However, literature is scant when it comes to the application of nonlinear BEM, although there is a…

计算工程、金融与科学 · 计算机科学 2024-05-10 Kirana Kumara P