Recent advances and emerging applications of the boundary element method

YJ Liu, S Mukherjee… - Applied …, 2011 - asmedigitalcollection.asme.org
Sponsored by the US National Science Foundation, a workshop on the boundary element
method (BEM) was held on the campus of the University of Akron during September 1–3 …

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 …

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 boundary element method revisited

NA Dumont - Boundary elements and other mesh reduction …, 2010 - books.google.com
The collocation boundary element method is derived on the basis of the weighted-residuals
statement. Only the static case is addressed, as it already involves all relevant conceptual …

On the solution of generalized non‐linear complex‐symmetric eigenvalue problems

NA Dumont - International journal for numerical methods in …, 2007 - Wiley Online Library
This paper brings an attempt toward the systematic solution of the generalized non‐linear,
complex‐symmetric eigenproblem (K0− iωC1− ω2M1− iω3C2− ω4M2−···) ϕ= 0, with real …

[PDF][PDF] General time-dependent analysis with the frequency-domain hybrid boundary element method

NA Dumont, RAP Chaves - Computer Assisted Mechanics and …, 2003 - academia.edu
The paper presents an attempt to consolidate a formulation for the general analysis of the
dynamic response of elastic systems. Based on the mode-superposition method, a set of …

[PDF][PDF] Generalized Westergaard stress functions as fundamental solutions

NA Dumont, EY Mamani - Computer Modeling in Engineering & …, 2011 - cdn.techscience.cn
A particular implementation of the hybrid boundary element method is presented for the two-
dimensional analysis of potential and elasticity problems, which, although general in …

A variational boundary element formulation for shear-deformable plate bending problems

THA Naga, YF Rashed - Journal of Applied …, 2013 - asmedigitalcollection.asme.org
This paper presents the derivation of a new boundary element formulation for plate bending
problems. The Reissner's plate bending theory is employed. Unlike the conventional direct …

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 applied to problems of potential theory in nonhomogeneous materials

NA Dumont, RAP Chaves… - International Journal of …, 2004 - World Scientific
Since the introduction of the hybrid boundary element method in 1987, it has been applied
to various problems of elasticity and potential theory, including time-dependent problems …