A quasi-static boundary element approach with fast multipole acceleration for high-resolution bioelectromagnetic models

SN Makarov, GM Noetscher, T Raij… - IEEE transactions on …, 2018 - ieeexplore.ieee.org
Objective: We develop a new accurate version of the boundary element fast multipole
method for transcranial magnetic stimulation (TMS) related problems. This method is based …

Numerical techniques for coupling hydrodynamic problems in ship and ocean engineering

X Zhang, J Wang, D Wan - Journal of Hydrodynamics, 2020 - Springer
Most hydrodynamic problems in ship and ocean engineering are complex and highly
coupled. Under the trend of intelligent and digital design for ships and ocean engineering …

A systematic derived sinh based method for singular and nearly singular boundary integrals

G **e, K Li, Y Zhong, H Li, B Hao, W Du, C Sun… - … Analysis with Boundary …, 2021 - Elsevier
When using boundary element analysis for thin walled structures, to ensure the
computational accuracy, special considerations on the singular and nearly singular integrals …

A novel BEM for modeling and simulation of 3T nonlinear generalized anisotropic micropolar-thermoelasticity theory with memory dependent derivative

MA Fahmy - Computer Modeling in Engineering & Sciences, 2021 - ingentaconnect.com
The main aim of this paper is to propose a new memory dependent derivative (MDD) theory
which called threetemperature nonlinear generalized anisotropic micropolar …

Formulations of displacement discontinuity method for crack problems based on boundary element method

W Zhou, B Liu, Q Wang, X Chang, X Chen - Engineering analysis with …, 2020 - Elsevier
In the current research, formulations of the displacement discontinuity method (DDM) for
crack problems based on boundary element method (BEM) are proposed in finite domain …

An adaptive local algorithm for solving the phase-field evolution equation in the phase-field model for fracture

Q Wang, Q Yue, C Huang, W Zhou, X Chang - Computational Materials …, 2022 - Elsevier
In the phase-field model for fracture, material damage can be characterized by a variable
called the crack phase-field. Usually-two sub-problems controlled by the equilibrium …

An adaptive orthogonal improved interpolating moving least-square method and a new boundary element-free method

Q Wang, W Zhou, YT Feng, G Ma, Y Cheng… - Applied Mathematics and …, 2019 - Elsevier
The improved interpolating moving least-square (IIMLS) method has been widely used in
data fitting and meshfree methods, and the obtained shape functions have the property of …

Numerical solution of 2D Navier–Stokes equation discretized via boundary elements method and finite difference approximation

Z Sedaghatjoo, M Dehghan, H Hosseinzadeh - Engineering Analysis with …, 2018 - Elsevier
In this paper boundary elements method (BEM) is equipped with finite difference
approximation (FDA) to solve two-dimensional Navier–Stokes (N–S) equation. The N–S …

Two-dimensional FM-IBEM solution to the broadband scattering of elastic waves in a fluid-saturated poroelastic half-space

Z Liu, C He, H Wang, S Shuaijie - Engineering Analysis with Boundary …, 2019 - Elsevier
The fast multi-pole indirect boundary element method (FM-IBEM) is proposed to efficiently
solve the high-frequency and large-scale two-dimensional (2-D) elastic wave scattering in a …

[HTML][HTML] Bi-directional sinh transformations based on the generalized Duffy space for nearly singular integrals

G **e, F Zhou, Y Zhong, H Geng, C Wu - Journal of Computational and …, 2020 - Elsevier
This paper focuses on the sinh transformation in the generalized Duffy space for accurate
computation of the nearly singular integral. The integral patch is normalized through the …