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 …
suffers from severe inconsistencies, partly responsible for the method's lack of clarity and …
A boundary element implementation for fracture mechanics problems using generalised Westergaard stress functions
In the traditional boundary element methods, the numerical modelling of cracks is usually
carried out by means of a hypersingular fundamental solution, which involves a 1/r 2 kernel …
carried out by means of a hypersingular fundamental solution, which involves a 1/r 2 kernel …
A fast-multipole unified technique for the analysis of potential problems with the boundary element methods
NA Dumont - 2016 - insajournal.in
The proposed developments are based on a consistent implementation of the conventional,
collocation boundary element method (BEM). A scheme is used to expand a generic (not …
collocation boundary element method (BEM). A scheme is used to expand a generic (not …
[PDF][PDF] A fast multipole method for high order boundary elements
HFC Peixoto - 2018 - maxwell.vrac.puc-rio.br
A Fast Multipole Method for High Order Boundary Elements. Rio de Janeiro, 2018. 64p.
Tese de doutorado–Departamento de Engenharia Civil e Ambiental, Pontifícia Universidade …
Tese de doutorado–Departamento de Engenharia Civil e Ambiental, Pontifícia Universidade …
Basics of a fast-multipole unified technique for the analysis of several classes of continuum mechanics problems with the boundary element method
HFC Peixoto, LS Novelino… - Boundary Elements and …, 2015 - books.google.com
The proposed implementations are based on a consistent development of the conventional,
collocation boundary element method (BEM)–with concepts taken from the variationally …
collocation boundary element method (BEM)–with concepts taken from the variationally …
A fast multipole implementation of the simplified hybrid boundary element method: application to 2D potential problems
NA Dumont, HFC Peixoto - European Journal of Computational …, 2017 - Taylor & Francis
The ultimate subject of this work is the implementation and testing of a novel numerical tool
that can simulate on a personal computer and only in a few minutes a problem with many …
that can simulate on a personal computer and only in a few minutes a problem with many …
[PDF][PDF] A fast-multipole implementation of the simplified hybrid boundary element method
NA Dumont, HFC Peixoto - Advances in Boundary Element …, 2016 - researchgate.net
The ultimate subject of this work is the implementation and testing of a novel numerical tool
that can simulate on a personal computer and only in a few minutes a problem with many …
that can simulate on a personal computer and only in a few minutes a problem with many …
Assessment of the spectral properties of the double-layer potential matrix H
NA Dumont - Boundary Elements and Other Mesh Reduction …, 2013 - books.google.com
The double-layer potential matrix H of the conventional, collocation boundary element
method (CBEM) is singular, as referred to a static problem in a bounded continuum. This …
method (CBEM) is singular, as referred to a static problem in a bounded continuum. This …
Reprint of: The best of two worlds: The expedite boundary element method
NA Dumont, CA Aguilar - Engineering structures, 2013 - Elsevier
The present developments result from the combination of the variationally-based, hybrid
boundary element method and a consistent formulation of the conventional, collocation …
boundary element method and a consistent formulation of the conventional, collocation …
[引用][C] On the fast-multipole implementation of the simplified hybrid boundary element method
HFC Peixoto, NA Dumont - Revista Interdisciplinar de Pesquisa em Engenharia, 2016