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 …

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 …

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 …

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 …

[PDF][PDF] Improved numerical simulation of 2D frame structures using a generalized modal analysis

NA Dumont, RN Barros… - XL Ibero-Latin …, 2019 - publicacoes.softaliza.com.br
IMPROVED NUMERICAL SIMULATION OF 2D FRAME STRUCTURES USING A
GENERALIZED MODAL ANALYSIS Page 1 CILAMCE 2019 Proceedings of the XL Ibero-Latin-American …

Solution of Time-Dependent Problems Using Exact Modal Analysis with Illustrative Application to One-Dimensional Truss Structures

NA Dumont - International Symposium on Solid Mechanics, 2022 - Springer
We proposed about two decades ago an advanced mode superposition technique for the
solution of transient problems of potential and elasticity. It extends Pian's hybrid finite …

Check for updates Solution of Time-Dependent Problems Using Exact Modal Analysis with Illustrative Application to One-Dimensional Truss Structures

NA Dumont - Proceedings of the 8th International Symposium on … - books.google.com
We proposed about two decades ago an advanced mode superposition technique for the
solution of transient problems of potential and elasticity. It extends Pian's hybrid finite …

Deflation schemes for the generalized nonlinear eigenvalue problem

WT de Carvalho, RC Sales, NA Dumont - 2024 - researchsquare.com
Deflation is an artifice to remove from a search subspace of interest already evaluated
eigenpairs. It is a necessary step in solving structure vibration or even the complete …