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

@inproceedings{Babuska2002OnPF,
  title={On principles for the selection of shape functions for the Generalized Finite Element Method},
  author={Ivo Babuska and Uday Banerjee and John E. Osborn},
  year={2002}
}
Abstract Effective shape functions for the Generalized Finite Element Method should reflect the available information on the solution. This information is partially fuzzy, because the solution is, of course, unknown, and typically the only available information is the solution’s inclusion in a variety of function spaces. It is desirable to choose shape functions that perform robustly over a family of relevant situations. Quantitative notions of robustness are introduced and discussed. We show… CONTINUE READING

Similar Papers

Citations

Publications citing this paper.
SHOWING 1-10 OF 23 CITATIONS

Three dimensional finite element modelling of non-Newtonian fluid flow through a wire mesh

VIEW 10 EXCERPTS
CITES BACKGROUND, RESULTS & METHODS
HIGHLY INFLUENCED

An adaptive mesh refinement technique for dynamics of solids

VIEW 4 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED

Meshfree Methods

VIEW 2 EXCERPTS
CITES METHODS

References

Publications referenced by this paper.
SHOWING 1-10 OF 30 REFERENCES

I

B. Szabo
  • Babu ska, Finite Element Analysis, John Wiley & Sons Inc., New York, 1991. I. Babu ska et al. / Comput. Methods Appl. Mech. Engrg. 191
  • 2002
VIEW 22 EXCERPTS
HIGHLY INFLUENTIAL

On principles for the selection of shape functions for the generalized finite element method, TICAM Report 01-16

I. Babu ska, U. Banerjee, J. Osborn
  • 2001
VIEW 8 EXCERPTS
HIGHLY INFLUENTIAL

€ Uber die beste anna€aherung van funktionen einer gegebenen funkticnklasse

A. Kolmogoroff
  • Ann. Math. 37
  • 1963
VIEW 3 EXCERPTS
HIGHLY INFLUENTIAL

€ Uber die beste anna€aherung van funktionen einer gegebenen funkticnklasse

A. Kolmogoroff
  • Ann. Math. 37
  • 1963
VIEW 3 EXCERPTS
HIGHLY INFLUENTIAL

I

T. Stroubolis, K. Copps
  • Babu ska, The generalized finite element method, Comput. Meth. Appl. Mech. Engrg. 190
  • 2001

Babu  ska , The generalized finite element method

K. Copps T. Stroubolis, I.
  • Comput . Meth . Appl . Mech . Engrg .
  • 2000

I

C. A. Duarte
  • Babu ska, J.T. Oden, Generalized finite element methods for three dimensional structural mechanics problems, Comput. Struct. 77
  • 2000

I

T. Stroubolis
  • Babu ska, K. Copps, The design and analysis of the generalized finite element method, Comput. Meth. Appl. Mech. Engrg. 181
  • 2000