Hierarchical Finite Element Bases for Triangular and Tetrahedral Elements

  title={Hierarchical Finite Element Bases for Triangular and Tetrahedral Elements},
  author={Joseph E. Flaherty}
We describe a hierarchical basis for the p-version of the nite element method in two and three dimensions. The corresponding sti ness matrices are shown to have good sparsity properties and better conditioning than those generated from existing hierarchical bases. 
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Publications referenced by this paper.
Showing 1-10 of 10 references

New Basis Functions and Computational Procedures for p-Version Finite Element Analysis

P. Carnevali, R. B. Morris, Y. Tsuji, G. Taylor
Int. J. Num. Meth. Engng, 36, • 1993
View 9 Excerpts
Highly Influenced

Pitkaranta, The Problem of Selecting the Shape Functions for a p-Type Finite Element

I. Babu ska, J. M. Griebel
Int. J. Num. Meth. Engng, • 1989
View 4 Excerpts
Highly Influenced

ska, Introduction to Finite Element Analysis

B. Szab o, I. Babu
View 5 Excerpts
Highly Influenced

Mathematical Handbook of Formulas and Tables

M. R. Spiegel
McGraw-Hill, New York • 1999

Hierarchical Preconditioning and Partial Orthogonalization for the p- Version Finite Element Method

J. Mandel
Chapter 7 in T.F. Chan, R. Glowinski, J. Periaux, and O.B. Widlund, Eds., Third. Int. Symp. on Domain Decomposition Methods for Partial Di erential Equations, SIAM, Philadelphi • 1990
View 1 Excerpt

Finite Element Handbook

H. Kardestuncer, D. H. Noorie
McGraw-Hill, New York • 1987
View 2 Excerpts

Optimal Isoparametric Finite Elements and Error Estimates for Domains Involving Curved Boundaries

M. Lenoir
SIAM J. Numer. Anal., 3 • 1986
View 1 Excerpt

Interpolation Theory Over Curved Elements

P. G. Ciarlet, P. A. Raviart
with Applications to Finite Element Methods, Comp. Meth. in Appl. Mech. and Engng, 1 • 1972
View 3 Excerpts

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