A systematic derived sinh based method for singular and nearly singular boundary integrals

G **s
TG Anderson, H Zhu, S Veerapaneni - Journal of Computational Physics, 2023 - Elsevier
While potential theoretic techniques have received significant interest and found broad
success in the solution of linear partial differential equations (PDEs) in mathematical …

Meshless Generalized Finite Difference Method Based on Nonlocal Differential Operators for Numerical Simulation of Elastostatics

Y Zhou, C Li, X Zhuang, Z Wang - Mathematics, 2024 - mdpi.com
This study proposes an innovative meshless approach that merges the peridynamic
differential operator (PDDO) with the generalized finite difference method (GFDM). Based on …

NURBS-enhanced boundary element method based on independent geometry and field approximation for 2D potential problems

W Zhou, B Liu, Q Wang, Y Cheng, G Ma… - … Analysis with Boundary …, 2017 - Elsevier
Non-uniform rational B-spline (NURBS) in Isogeometric analysis (IGA) is coupled with the
boundary element method (BEM) for 2D potential problems in this paper. The geometry and …

A meshless interface integral BEM for solving heat conduction in multi-non-homogeneous media with multiple heat sources

WZ Feng, LF Gao, JM Du, W Qian, XW Gao - … Communications in Heat and …, 2019 - Elsevier
This paper presented a new transformation technique from multi-domain integrals into
equivalent boundary integrals, by utilizing this technique, an efficient meshless interface …

A NURBS-enhanced improved interpolating boundary element-free method for 2D potential problems and accelerated by fast multipole method

Q Wang, W Zhou, Y Cheng, G Ma, X Chang… - Engineering analysis with …, 2019 - Elsevier
Isogeometric analysis (IGA) has been widely applied in the finite element method and
boundary element method (BEM), in which the geometry discretization error can be avoided …

The Kriging integration method applied to the boundary element analysis of Poisson problems

A Narváez, J Useche - Engineering Analysis with Boundary Elements, 2020 - Elsevier
A novel efficient technique is presented for the evaluation of domain integrals that appear in
the boundary element method (BEM). Herein, the source term is approximated with the use …

[HTML][HTML] NURBS-enhanced line integration boundary element method for 2D elasticity problems with body forces

Q Wang, W Zhou, Y Cheng, G Ma, X Chang - Computers & Mathematics …, 2019 - Elsevier
A NURBS-enhanced boundary element method for 2D elasticity problems with body forces
is proposed in this paper. The non-uniform rational B-spline (NURBS) basis functions are …

Near singularity cancellation in weakly singular integrals of three-dimensional boundary element method

G **e, Y Zhong, H Li, W Du, S Feng, W He… - … Analysis with Boundary …, 2020 - Elsevier
This paper focuses on near singularity in weakly singular integrals of three-dimensional
boundary element method. In traditional methods, only one directional transformation is …