[图书][B] Boundary element methods for engineers and scientists: an introductory course with advanced topics

L Gaul, M Kögl, M Wagner - 2013 - books.google.com
Over the past decades, the Boundary Element Method has emerged as a ver satile and
powerful tool for the solution of engineering problems, presenting in many cases an …

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 …

Regularization of nearly hypersingular integrals in the boundary element method

JJ Granados, R Gallego - Engineering Analysis with Boundary Elements, 2001 - Elsevier
A critical aspect in all implementations of the boundary element method is an accurate
computation of the kernels' integration. These kernels are singular or hypersingular when …

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 …

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 …

[PDF][PDF] Variationally-based hybrid boundary element methods

NA Dumont - Computer Assisted Mechanics and Engineering …, 2003 - academia.edu
The hybrid stress boundary element method (HSBEM) was introduced in 1987 on the basis
of the Hellinger-Reissner potential, as a generalization of Pian's hybrid finite element …