Regularized moving least-square method and regularized improved interpolating moving least-square method with nonsingular moment matrices

Q Wang, W Zhou, Y Cheng, G Ma, X Chang… - Applied Mathematics …, 2018 - Elsevier
The moving least-square (MLS) method has been popular applied in surface construction
and meshless methods. However, the moment matrix in MLS method may be singular for ill …

A line integration method for the treatment of 3D domain integrals and accelerated by the fast multipole method in the BEM

Q Wang, W Zhou, Y Cheng, G Ma, X Chang - Computational Mechanics, 2017 - Springer
A line integration method (LIM) is proposed to calculate the domain integrals for 3D
problems. In the proposed method, the domain integrals are transformed into boundary …

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 …

[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 …

Line integration method for treatment of domain integrals in 3D boundary element method for potential and elasticity problems

Q Wang, W Zhou, Y Cheng, G Ma, X Chang - Engineering Analysis with …, 2017 - Elsevier
A line integration method is presented in this paper for evaluation of domain integrals in 3D
problems. The method is a boundary-only discretization method and the domain integrals …

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 …

An adaptive cell-based domain integration method for treatment of domain integrals in 3D boundary element method for potential and elasticity problems

Q Wang, W Zhou, Y Cheng, G Ma, X Chang… - Acta Mechanica Solida …, 2017 - Springer
An adaptive cell-based domain integration method (CDIM) is proposed for the treatment of
domain integrals in 3D boundary element method (BEM). The domain integrals are …

The boundary element method with a fast multipole accelerated integration technique for 3D elastostatic problems with arbitrary body forces

Q Wang, W Zhou, Y Cheng, G Ma, X Chang… - Journal of Scientific …, 2017 - Springer
A line integration boundary element method (LIBEM) is proposed for three-dimensional
elastostatic problems with body forces. The method is a boundary-only discretization method …

Meshless singular boundary methods for biharmonic problems

C Yang, X Li - Engineering Analysis with Boundary Elements, 2015 - Elsevier
In this paper, the meshless singular boundary method (SBM) is first presented for the
numerical solution of biharmonic problems. The SBM uses the source intensity factor to …

The fast multipole boundary element method for anisotropic material problems under centrifugal loads

DDC Mateus, AB Dias Jr, LS Campos… - … Analysis with Boundary …, 2024 - Elsevier
This paper presents a two-dimensional fast multipole boundary element method designed
for the efficient analysis of large-scale anisotropic elastic problems subjected to centrifugal …