[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 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 …

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 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 …

Regularization of divergent integrals: A comparison of the classical and generalized-functions approaches

VV Zozulya - Advances in Computational Mathematics, 2015 - Springer
This article considers methods of weakly singular and hypersingular integral regularization
based on the theory of distributions. For regularization of divergent integrals, the Gauss …

Real-and complex-variable implementations of the consistent boundary element method in two-dimensional elasticity: a comparative assessment

NEYA DUMONT - WIT Transactions on Engineering Sciences, 2023 - witpress.com
The collocation boundary element method has recently been entirely revisited by the author.
Arbitrary rigid-body displacements, as for elasticity, are naturally taken into account, and …

The best of two worlds: The expedite boundary element method

NA Dumont, CA Aguilar - Engineering Structures, 2012 - Elsevier
The present developments result from the combination of the variationally-based, hybrid
boundary element method and a consistent formulation of the conventional, collocation …

The hybrid boundary element method in structural acoustics

M Wagner, L Gaul, NA Dumont - ZAMM‐Journal of Applied …, 2004 - Wiley Online Library
This paper presents a new symmetric formulation for structural acoustics in the frequency
domain. Usually, the structural domain is discretized with the Finite‐Element Method (FEM) …

NODE LOCATION OPTIMIZATION AND INQUIRY INTO GEOMETRY-PRESERVING VERSUS ISOPARAMETRIC FORMULATION IN THE COLLOCATION BOUNDARY …

NEYA DUMONT - WIT Transactions on Engineering Sciences, 2024 - witpress.com
This paper might have a subtitle,'–homothetic node and element generation along boundary
patches', with the justification 'to simplify and speed up the numerical simulation'. We have …