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 …

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 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 …

From frequency-dependent mass and stiffness matrices to the dynamic response of elastic systems

NA Dumont, R De Oliveira - International journal of solids and structures, 2001 - Elsevier
More than three decades ago, Przemieniecki introduced a formulation for the free vibration
analysis of bar and beam elements based on a power series of frequencies. In the present …

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 …

[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 …