Singular boundary method: A review and computer implementation aspects

Z Fu, Q Xi, Y Gu, J Li, W Qu, L Sun, X Wei… - … Analysis with Boundary …, 2023 - Elsevier
This paper presents an overview of the singular boundary method (SBM) and its various
engineering applications. The basic concepts of the singular boundary method are first …

[图书][B] Recent advances in radial basis function collocation methods

W Chen, ZJ Fu, CS Chen - 2014 - Springer
Function approximation and interpolation play an essential role in most fields of
computational sciences and engineering, such as data processing and numerical solution of …

Bars under torsional loading: a generalized beam theory approach

EJ Sapountzakis - International Scholarly Research Notices, 2013 - Wiley Online Library
In this paper both the static and dynamic analyses of the geometrically linear or nonlinear,
elastic or elastoplastic nonuniform torsion problems of bars of constant or variable arbitrary …

[HTML][HTML] A meshless based numerical technique for traveling solitary wave solution of Boussinesq equation

M Dehghan, R Salehi - Applied Mathematical Modelling, 2012 - Elsevier
In this paper, we employ the boundary-only meshfree method to find out numerical solution
of the classical Boussinesq equation in one dimension. The proposed method in the current …

The solitary wave solution of the two-dimensional regularized long-wave equation in fluids and plasmas

M Dehghan, R Salehi - Computer Physics Communications, 2011 - Elsevier
This paper investigates the solitary wave solutions of the two-dimensional regularized long-
wave equation which is arising in the investigation of the Rossby waves in rotating flows and …

A method based on meshless approach for the numerical solution of the two‐space dimensional hyperbolic telegraph equation

M Dehghan, R Salehi - Mathematical Methods in the Applied …, 2012 - Wiley Online Library
In the current article, we investigate the RBF solution of second‐order two‐space
dimensional linear hyperbolic telegraph equation. For this purpose, we use a combination of …

Generalized warping and distortional analysis of curved beams with isogeometric methods

IN Tsiptsis, EJ Sapountzakis - Computers & Structures, 2017 - Elsevier
Towards improving conventional beam elements in order to include distortional effects in
their analysis, independent parameters have been taken into account in this study. Curved …

Nonlinear response of shear deformable beams on tensionless nonlinear viscoelastic foundation under moving loads

EJ Sapountzakis, AE Kampitsis - Journal of Sound and Vibration, 2011 - Elsevier
In this paper, a boundary element method is developed for the geometrically nonlinear
response of shear deformable beams of simply or multiply connected constant cross-section …

Advanced 3-D beam element including warping and distortional effects for the analysis of spatial framed structures

EJ Sapountzakis, IC Dikaros - Engineering Structures, 2019 - Elsevier
In this paper an advanced 32× 32 stiffness matrix and the corresponding nodal load vector
of a 3-D beam element of arbitrary cross section taking into account shear deformation …

Generalized warping analysis of composite beams of an arbitrary cross section by BEM. I: Theoretical considerations and numerical implementation

IC Dikaros, EJ Sapountzakis - Journal of Engineering Mechanics, 2014 - ascelibrary.org
In this two-paper contribution, a general formulation for the nonuniform warping analysis of
composite beams of arbitrary simply or multiply connected cross sections, under arbitrary …