The consistent boundary element method for potential and elasticity: Part I—Formulation and convergence theorem

NA Dumont - Engineering Analysis with Boundary Elements, 2023 - Elsevier
The collocation boundary element method is outlined for the general three-dimensional,
static case of elasticity on the basis of a weighted-residuals statement that leads to the …

The consistent boundary element method for potential and elasticity: Part III—Topologically challenging numerical assessments for 2D problems

NA Dumont - Engineering Analysis with Boundary Elements, 2023 - Elsevier
The collocation boundary element method is consistently outlined in a companion (Part I)
paper for the general three-dimensional, static case of elasticity on the basis of a weighted …

Iterative boundary element method for modeling an inverted T-type porous barrier in presence of ocean currents

SK Dash, S Koley - The European Physical Journal Special Topics, 2024 - Springer
The present study investigates the scattering of ocean wave and currents by an inverted T-
type lightweight surface-piercing wave barrier that is situated over a uniform sea bed. To …

The consistent boundary element method for potential and elasticity: Part II—machine-precision numerical evaluations for 2D problems

NA Dumont - Engineering Analysis with Boundary Elements, 2023 - Elsevier
The collocation boundary element method is outlined in a first companion paper for the
general three-dimensional, static case of elasticity. This is done in a consistent way that …

Complex-variable, high-precision formulation of the consistent boundary element method for 2D potential and elasticity problems

NA Dumont - Engineering Analysis with Boundary Elements, 2023 - Elsevier
The collocation boundary element method was recently entirely revisited on the basis of a
consistent derivation of Somigliana's identity in terms of weighted residuals. Both …

Finite Element Analysis of Current Density Distribution in the Sliding Contact Interface of Electromagnetic Railguns: A Literature Review

J Ma, R Shi, D Han, P Yue, K Song - IEEE Access, 2024 - ieeexplore.ieee.org
This work provides a comprehensive review of the utilization of the Finite Element Analysis
(FEA) in optimizing current density distribution within the Electrical Contact Interfaces (ECIs) …

Consistency, precision, and accuracy assessment of the collocation boundary element method for two-dimensional problems of potential and elasticity

NA Dumont - Archive of Applied Mechanics, 2024 - Springer
The collocation boundary element method, as developed and taught in the traditional books,
suffers from severe inconsistencies, partly responsible for the method's lack of clarity and …

Machine-precise evaluation of stress intensity factors with the consistent boundary element method

NA Dumont, OADA Neto - International Journal of Computational …, 2021 - witpress.com
As classically proposed in the technical literature, the boundary element modeling of cracks
is best carried out by resorting to a hypersingular fundamental solution–in the frame of the …

Sphere elements in the BEM for the analysis of elastic bodies with spherical voids or inclusions

YT Zheng, Y Liu, XW Gao, WZ Feng - Engineering Analysis with Boundary …, 2025 - Elsevier
In this paper, a series of novel sphere elements are proposed in the boundary element
method (BEM). These elements are designed as isoparametric closure elements to simulate …

Analytical 3D boundary element implementation of flat triangle and quadrilateral elements for potential and linear elasticity problems

N Dumont, TG Kurz - Boundary Elements and Other Mesh …, 2019 - books.google.com
This paper introduces a formulation for 3D potential and linear elasticity problems that end
up with the analytical handling of all regular, improper, quasi-singular, singular and …