Error analysis of higher order wavelet-like basis functions in the finite element method

Proceedings of the Annual Southeastern Symposium on System Theory

Volumn 2002-January, Issue , 2002, Pages 138-141

  Hutchcraft, W Elliott ^a   Gordon, Richard K ^a  

^a UNIVERSITY OF MISSISSIPPI   (United States)

Author keywords

Finite element method; Iterative techniques; Wavelets

Indexed keywords

COMPUTATION THEORY; DIFFERENTIAL EQUATIONS; ERRORS; EXTRAPOLATION; FINITE ELEMENT METHOD; FUNCTIONS; INTEGRAL EQUATIONS; ITERATIVE METHODS; SYSTEM THEORY; WAVELET ANALYSIS;

COMPUTATIONAL SCIENCE; ITERATIVE TECHNIQUE; NUMERICAL SOLUTION; NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS; RICHARDSON EXTRAPOLATION; SCIENTIFIC LITERATURE; WAVELET-LIKE BASIS; WAVELETS;

TIME DOMAIN ANALYSIS;

EID: 77956596140     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/SSST.2002.1027021     Document Type: Conference Paper

References (4)

1. Richard K. Gordon and Jin-Fa Lee, "On the Use of Wavelet-Like Basis Functions in the Finite Element Solution of Elliptic Problems," 1995 URSI Digest of the USNC/URSI Radio Science Meeting, pg. 34, June 1995.
2. Gilbert Strang, George J. Fix, "An Analysis of the Finite Element Method," Prentice Hall Inc., Englewood Cliffs, NJ, 1973.
3. Lee A. Harrison, W. Elliott Hutchcraft, R. Gordon, and J.-F. Lee, "The use of Richardson extrapolation in the finite element solution of partial differential equations using wavelet-like basis functions", Proceedings of The 30th Southeastern Symposium on System Theory, pp. 98-101, March 8-10, 1998.
4. K. Eriksson, D. Estep, P. Hansbo, C. Johnson, Computational Differential Equations, Studentiitteratur, Lund, Sweden, 1996.