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 …

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 …

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 …

The hybrid boundary element method

NA Dumont - Mathematical and computational aspects, 1987 - Springer
The author recently wrote an essay on the misleading symmetrization procedures
developed in the last few years by several researchers regarding the conventional boundary …

The collocation boundary element method revisited: Perfect code for 2D problems

NA Dumont - Boundary Elements and Other Mesh Reduction …, 2018 - books.google.com
The paper reviews the collocation boundary element method (BEM) exactly as it has been
originally proposed on the basis of a weighted residuals statement that leads to …

In-plane loading of a bonded rigid disc inclusion embedded at a pre-compressed elastic interface: The role of non-linear interface responses

APS Selvadurai - Mechanical Systems and Signal Processing, 2020 - Elsevier
The paper examines the in-plane loading of a bonded rigid disc inclusion of finite thickness
that is embedded at a smooth pre-compressed elastic interface composed of two halfspace …

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 …