ScholarLens Back to search
2006•Chinese journal of rock mechanics and engineeringRequires access

NEW IMPLEMENT OF MOVING LEAST-SQUARE TECHNOLOGY AND ITS APPLICATION IN MESHLESS METHOD

Enzhi Wang

Open publisher page 0 citations

Abstract

Meshless method is one kind of powerful tool for numerical solutions of partial differential equations(PDEs),and it has local technique and element-free characteristics.Among the meshless methods,moving least-square approximation is most common in constructing the shape function.The meshless method has more computation advantages in such respects as accuracy and pre-processing,post-processing,etc..The paper introduces in detail the MLS technology and the interpolation characteristics,especially the MLS interpolation of singular weighted function.The Dirichlet boundary conditions are met through the use of a set of IMLS.Thus the Lagrange multipliers are eliminated.The validity,accuracy and efficiency of the method are demonstrated by comparing the results from IMLS with closed-form ones and the ones from FEM in 1D,2D examples.

About this research paper

What this paper is about

Meshless method is one kind of powerful tool for numerical solutions of partial differential equations(PDEs),and it has local technique and element-free characteristics.Among the meshless methods,moving least-square approximation is most common in constructing the shape function.The meshless method has more computation advantages in such respects as accuracy and pre-processing,post-processing,etc..The paper introduces in detail the MLS technology and the interpolation characteristics,especially the MLS interpolation of singular weighted function.The Dirichlet boundary conditions are met through the use of a set of IMLS.Thus the Lagrange multipliers are eliminated.The validity,accuracy and efficiency of the method are demonstrated by comparing the results from IMLS with closed-form ones and the ones from FEM in 1D,2D examples.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Meshless method is one kind of powerful tool for numerical solutions of partial differential equations(PDEs),and it has local technique and element-free characteristics.Among the meshless methods,moving least-square approximation is most common in constructing the shape function.The meshless method has more computation advantages in such respects as accuracy and pre-processing,post-processing,etc..The paper introduces in detail the MLS technology and the interpolation characteristics,especially the MLS interpolation of singular weighted function.The Dirichlet boundary conditions are met through the use of a set of IMLS.Thus the Lagrange multipliers are eliminated.The validity,accuracy and efficiency of the method are demonstrated by comparing the results from IMLS with closed-form ones and the ones from FEM in 1D,2D examples.

Key concepts: Regularized meshless method, Singular boundary method, Interpolation (computer graphics), Moving least squares, Meshfree methods, Mathematics, Applied mathematics, Lagrange polynomial

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
NEW IMPLEMENT OF MOVING LEAST-SQUARE TECHNOLOGY AND ITS APPLICATION IN MESHLESS METHOD — Research Paper | ScholarLens