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A surface integral representation of Maxwell's equations allows the efficient electromagnetic (EM) modeling of three-dimensional structures with a two-dimensional discretization, via the boundary element method (BEM). However, existing BEM…

数值分析 · 数学 2021-12-14 Shashwat Sharma , Piero Triverio

The accurate electromagnetic modeling of both low- and high-frequency physics is crucial in the signal and power integrity analysis of electrical interconnects. The boundary element method (BEM) is appealing for lossy conductor modeling…

计算工程、金融与科学 · 计算机科学 2022-08-31 Shashwat Sharma , Piero Triverio

The boundary element method (BEM) enables solving three-dimensional electromagnetic problems using a two-dimensional surface mesh, making it appealing for applications ranging from electrical interconnect analysis to the design of…

数值分析 · 数学 2021-12-14 Shashwat Sharma , Piero Triverio

The electrostatic modeling of conductors is a fundamental challenge in various applications, including the prediction of parasitic effects in electrical interconnects, the design of biasing networks, and the modeling of biological,…

计算工程、金融与科学 · 计算机科学 2023-05-17 Shashwat Sharma , Piero Triverio

The boundary element method (BEM) is an efficient numerical method for simulating harmonic wave propagation. It uses boundary integral formulations of the Helmholtz equation at the interfaces of piecewise homogeneous domains. The…

Boundary element methods (BEM) are used for forward computation of bioelectromagnetic fields in multi-compartment volume conductor models. Most BEM approaches assume that each compartment is in contact with at most one external compartment.…

经典物理 · 物理学 2016-11-24 Matti Stenroos

In this paper, we propose an efficient parallelization strategy for boundary element method (BEM) solvers that perform the electromagnetic analysis of structures with lossy conductors. The proposed solver is accelerated with the adaptive…

分布式、并行与集群计算 · 计算机科学 2022-11-30 Damian Marek , Shashwat Sharma , Piero Triverio

Source localization based on electroencephalography (EEG) has become a widely used neuroimagining technique. However its precision has been shown to be very dependent on how accurately the brain, head and scalp can be electrically modeled…

医学物理 · 物理学 2020-04-22 Lyes Rahmouni , Adrien Merlini , Axelle Pillain , Francesco P. Andriulli

A novel boundary element method (BEM) removes the classical dependence on explicit fundamental solutions and extends quasi-optimal BEM discretisations to strongly elliptic operators with variable coefficients. The approach constructs a…

数值分析 · 数学 2026-05-22 Benedikt Gräßle , Stefan A. Sauter

The paper is concerned with the development of efficient and accurate solution procedures for the isogeometric boundary element method (BEM) when applied to problems that contain inclusions that have elastic properties different to the…

数值分析 · 数学 2020-10-28 Gernot Beer , Eugenio Ruocco , Christian Duenser , Vincenzo Mallardo

The boundary element method (BEM) provides an efficient numerical framework for solving multiple scattering problems in unbounded homogeneous domains, since it reduces the discretization to the domain boundaries, thereby condensing the…

机器学习 · 计算机科学 2025-12-03 Rémi Marsal , Stéphanie Chaillat

This paper presents a matrix-free approach for implementing the shifted boundary method (SBM) in finite element analysis. The SBM is a versatile technique for solving partial differential equations on complex geometries by shifting boundary…

数值分析 · 数学 2025-07-24 Michał Wichrowski

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

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

We present a 3D hybrid method which combines the Finite Element Method (FEM) and the Spectral Boundary Integral method (SBIM) to model nonlinear problems in unbounded domains. The flexibility of FEM is used to model the complex,…

数值分析 · 数学 2021-02-18 Gabriele Albertini , Ahmed Elbanna , David S. Kammer

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

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

We present a boundary-spheropolygon element method (BSEM), that combines the boundary integral method (BIM) and the spheropolygon-based discrete element method (SEM). The interaction between particles is simulated via the SEM, and the…

软凝聚态物质 · 物理学 2019-02-06 Yupeng Jiang , Hans J. Herrmann , Fernando Alonso-Marroquin

This work focuses on model preparation for electrostatic simulations of CAD designs to realize a rapid virtual prototyping concept. We present a boundary element method (BEM) allowing discontinuous fields between surfaces. The corresponding…

计算工程、金融与科学 · 计算机科学 2024-12-13 Benjamin Marussig , Thomas Rüberg , Jürgen Zechner , Lars Kielhorn , Thomas-Peter Fries

The Boundary Element Method (BEM) is a powerful numerical approach for solving 3D elastostatic problems, particularly useful for crack propagation in fracture mechanics and half-space problems. A key challenge in BEM lies in handling…

数值分析 · 数学 2025-10-30 Vibudha Lakshmi Keshava , Martin Schanz
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