On principles for the selection of shape functions for the Generalized Finite Element Method

Author:

Babuška Ivo,Banerjee Uday,Osborn John E.

Publisher

Elsevier BV

Subject

Computer Science Applications,General Physics and Astronomy,Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Reference28 articles.

1. A new meshless local Petrov–Galerkin (MLPG) approach in computational mechanics;Atluri;Comp. Mech.,1998

2. I. Babuška, U. Banerjee, J. Osborn, On principles for the selection of shape functions for the generalized finite element method, TICAM Report 01-16. University of Texas at Austin, Austin, TX, June 2001

3. Special finite element methods for a class of second order elliptic problems with rough coefficients;Babuška;SIAM J. Numer. Anal.,1994

4. I. Babuška, B. Guo, Direct and inverse approximation theorems in the p-version of finite element method in the framework of weighted Besov spaces, Part 1: approximability of functions in weighted Besov spaces, TICAM Report 99-31, SIAM J. Numer. Anal., in press

5. Optimal estimates on lower and upper bound of approximation error of the p-version of the finite element method in two dimensions;Babuška;Numer. Math.,2000

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