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 …

Symmetric matrix pencils: Codimension counts and the solution of a pair of matrix equations

A Dmytryshyn, B Kagstrom… - The Electronic Journal of …, 2014 - journals.uwyo.edu
SYMMETRIC MATRIX PENCILS: CODIMENSION COUNTS AND THE SOLUTION OF A PAIR OF
MATRIX EQUATIONS∗ 1. Introduction. The goal of this Page 1 ELA SYMMETRIC MATRIX …

A regular variational boundary model for free vibrations of magneto-electro-elastic structures

G Davi, A Milazzo - Engineering analysis with boundary elements, 2011 - Elsevier
In this paper a regular variational boundary element formulation for dynamic analysis of two-
dimensional magneto-electro-elastic domains is presented. The method is based on a …

Solving large‐scale nonlinear eigenvalue problems by rational interpolation and resolvent sampling based Rayleigh–Ritz method

J Xiao, C Zhang, TM Huang… - International Journal for …, 2017 - Wiley Online Library
Numerical solution of nonlinear eigenvalue problems (NEPs) is frequently encountered in
computational science and engineering. The applicability of most existing methods is limited …

On smooth LU decompositions with applications to solutions of nonlinear eigenvalue problems

H Dai, ZZ Bai - Journal of Computational Mathematics, 2010 - JSTOR
We study the smooth LU decomposition of a given analytic functional λ-matrix A (λ) and its
block-analogue. Sufficient conditions for the existence of such matrix decompositions are …

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 …

[HTML][HTML] Miniversal deformations of pairs of symmetric matrices under congruence

A Dmytryshyn - Linear Algebra and its Applications, 2019 - Elsevier
For each pair of complex symmetric matrices (A, B) we provide a normal form with a minimal
number of independent parameters, to which all pairs of complex symmetric matrices (A˜ …

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 …

On why using for the symmetric polynomial eigenvalue problem might need to be reconsidered

MI Bueno, J Pérez, S Rogers - Calcolo, 2022 - Springer
In the literature it is common to use the first and last pencils D 1 (λ, P) and D k (λ, P) in the
“standard basis” for the vector space DL (P) of block-symmetric pencils to solve the …

[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 …