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

By Ivo Babuska, Uday Banerjee, John E. Osborn. 2002

59 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/cf94223c1ef8eb99154253a1b78524ecc8c917fb

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Uday Banerjee
2. Ivo Babuska
3. John E. Osborn
4. Espen Sande
5. Carla Manni
6. Hendrik Speleers
7. Gerhart I. Schuëller
8. Carlos Armando Duarte

In Mechanics of Materials

1. Uday Banerjee
2. Ivo Babuska
3. John E. Osborn
4. Carlos Armando Duarte
5. Espen Sande
6. Gerhart I. Schuëller
7. Carla Manni
8. Hendrik Speleers

Citations in the corpus

• Uncertain linear systems in dynamics: Retrospective and recent developments by stochastic approaches (2009, background): “ment properties of a stochastic process [22, 26, 5 , 39, 64].”
• Meshless and Generalized Finite Element Methods: A Survey of Some Major Results (2003, background): “In the GFEM often the classical finite element shape functions are used as partition of unity functions [9], [11], [30].”
• Sharp error estimates for spline approximation: Explicit constants, n-widths, and eigenfunction convergence (2018, background): “All cases are plotted in the interval [0, 1], after a proper rescaling, as it is common in the literature.”
• Uncertainty analysis of complex structural systems (2009, background): “Summarizing, the KL-expansion allows for a simple description of the first two moment properties of a stochastic process [19, 21, 6, 33, 46].”
• GENERALIZED FINITE ELEMENT METHODS — MAIN IDEAS, RESULTS AND PERSPECTIVE (2004, background): “AMS(MOS) Subject Classifications: 65N30; 65N15; 41A10; 42A10; 41A30.”