On the approximability and the selection of particle shape functions-Reference-Cited by-同舟云学术

On the approximability and the selection of particle shape functions

Published:2003-11-19 Issue:4 Volume:96 Page:601-640
ISSN:0029-599X
Container-title:Numerische Mathematik
language:en
Short-container-title:Numer. Math.

Author:

Babuška Ivo,Banerjee Uday,Osborn John E.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00211-003-0489-2.pdf

Reference26 articles.

1. Armentano, M.G.: Error estimates in Sobolev spaces for moving least square approximation. SIAM J. Numer. Anal. 39(1), 38–51 (2002)

2. Armentano, M.G., Duran, R.G.: Error estimates for moving least square approximation. Appl. Numer. Math. 37, 397–416 (2001)

3. Atluri, S.N., Shen, S.: The Meshless Local Petrov Galerkin Method. Tech. Sci. Press, 2002

4. Babuška, I.: Approximation by Hill Functions. Comment Math. Univ. Carolinae. 11, 787–811 (1970)

5. Babuška, I., Banerjee, U., Osborn, J.: On Principles for the Selection of Shape Functions for the Generalized Finite Element Method. Technical Report #01-16, TICAM, University of Texas at Austin, 2001

Cited by 17 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Meshfree particle methods for thin plates;Computer Methods in Applied Mechanics and Engineering;2012-02

2. Numerical integration in Galerkin meshless methods, applied to elliptic Neumann problem with non-constant coefficients;Advances in Computational Mathematics;2011-09-22

3. A note on the singular linear system of the generalized finite element methods;Applied Mathematics and Computation;2011-04

4. Theoretical analysis of numerical integration in Galerkin meshless methods;BIT Numerical Mathematics;2010-11-06

5. Approximation properties of the Generalized Finite Element Method;Advances in Computational Mathematics;2010-06-04