Comparison of the convolution quadrature method and enhanced inverse FFT with application in elastodynamic boundary element method

M Schanz, W Ye, J Xiao - Computational mechanics, 2016 - Springer
Transient problems can often be solved with transformation methods, where the inverse
transformation is usually performed numerically. Here, the discrete Fourier transform in …

On accuracy of translations by kernel independent fast multipole methods

E Rejwer-Kosińska, L Rybarska-Rusinek… - Computers & Mathematics …, 2022 - Elsevier
The paper concerns with accurate evaluation of local fields in problems, like those of fracture
mechanics, for which extreme, rather than mean values, are of prime significance. We focus …

On evaluation of local fields by fast multipole method employing smooth equivalent/check surfaces

E Rejwer-Kosińska, L Rybarska-Rusinek… - Applied Mathematics and …, 2021 - Elsevier
The work aims to increase the efficiency of finding local fields in problems, like those of
fracture mechanics, for which extreme, rather than average, values of fields are of prime …

Boundary element analysis for elasticity problems using expanding element interpolation method

J Zhang, L Han, Y Zhong, Y Dong, W Lin - Engineering computations, 2020 - emerald.com
Purpose This paper aims to propose a boundary element analysis of two-dimensional linear
elasticity problems by a new expanding element interpolation method. Design/methodology …

[HTML][HTML] Enhanced Upward Translations for Systems with Clusters

E Rejwer-Kosińska, A Linkov, L Rybarska-Rusinek - Applied Sciences, 2024 - mdpi.com
The paper is concerned with using boundary element methods (BEM) for the accurate
evaluation of fields in structures with clusters. For large-scale problems, the BEM system is …

A fast multipole method for Fredholm integral equations of the second kind with general kernel K (x, y)= K (x− y)

J Liang, S Xiang - Computers & Mathematics with Applications, 2022 - Elsevier
This paper presents a fast multipole boundary element method (fast BEM) for solving the
Fredholm integral equations of the second kind. The local expansion of the fast multipole …

[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 …

A fast directional boundary element method for wideband multi-domain elastodynamic analysis

Y Cao, J Xiao, L Wen, Z Wang - Engineering Analysis with Boundary …, 2019 - Elsevier
A fast directional boundary element method for wideband multi-domain elastodynamic
analysis is developed. The directional low rank property of the elastodynamic kernel is …

An efficient adaptive frequency sampling scheme for large-scale transient boundary element analysis

J Xiao, J Rong, W Ye, C Zhang - Computers & Structures, 2016 - Elsevier
The frequency-domain approach (FDA) to transient analysis of the boundary element
method, although is appealing for engineering applications, is computationally expensive …