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 …

Linear algebra issues in a family of advanced hybrid finite elements

NA Dumont, CAA Marón - Computational Modelling and Advanced …, 2011 - Springer
The hybrid finite element method, proposed more than 40 years ago on the basis of the
Hellinger-Reissner potential, was a conceptual breakthrough among the discretization …

On the inverse of generalized λ‐matrices with singular leading term

NA Dumont - International journal for numerical methods in …, 2006 - Wiley Online Library
An algorithm is introduced for the inverse of a λ‐matrix given as the truncated series A0−
iλA1− λ2A2+ iλ3A3+ λ4A4+···+ O (λn+ 1) with square coefficient matrices and singular …

[PDF][PDF] Consistency assessment of plate bending theories for the implementation of efficient hybrid finite elements in linear statics and dynamics

NA Dumont, RC Sales - XLII Ibero-Latin American …, 2021 - publicacoes.softaliza.com.br
Consistency assessment of plate bending theories for the implementation of efficient hybrid
finite elements in linear statics an Page 1 Consistency assessment of plate bending theories …

Linear Algebra Aspects in the Equilibrium-Based Implementation of Finite/Boundary Element Methods for FGMs

NA Dumont - Multiscale and Functionally Graded Materials …, 2008 - ui.adsabs.harvard.edu
The paper briefly outlines the conventional and three variational implementations of the
boundary element method, pointing out the conceptual imbrications of their constituent …

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 …

[PDF][PDF] Study of simplified elements for static and dynamic analysis of origami structures

DS de Carvalho, RC Sales… - XLIII Ibero-Latin …, 2022 - publicacoes.softaliza.com.br
Research works involving structural origami have grown in recent years, especially applied
to science and engineering problems. Early applications took advantage of the idea that a …

[PDF][PDF] A family of 2D and 3D hybrid finite elements for strain gradient elasticity

NA Dumont, D Huaman - … Techniques XI, Proceedings of the 11th …, 2010 - researchgate.net
The mathematical modeling of microdevices, in which structure and microstructure have
approximately the same scale of magnitude, as well as of macrostructures of markedly …

[PDF][PDF] The Morley plate element in the frame of a generalized, frequency-dependent hybrid finite element formulation

RC Sales, NA Dumont - XLIII Ibero-Latin American …, 2022 - publicacoes.softaliza.com.br
The Morley plate element is the simplest triangular finite element for homogeneous, isotropic
material, and represents constant bending curvature/moment exactly, as the flexural …

[PDF][PDF] Estudo de elementos simplificados para a análise estática e dinâmica de estruturas origami

NA Dumont - 2020 - maxwell.vrac.puc-rio.br
Daniel Santos de Carvalho Estudo de elementos simplificados para a análise estática e
dinâmica de estruturas origami Page 1 Daniel Santos de Carvalho Estudo de elementos …