One-dimensional finite elements based on the Daubechies family of wavelets

AIAA Journal

Volumn 34, Issue 8, 1996, Pages 1696-1698

  Patton, Richard D ^a,b   Marks, Patrick C ^a,c  

^a MISSISSIPPI STATE UNIVERSITY   (United States)

^b AIAA ^*

^c Digisonix Inc   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3242873212     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/3.13291     Document Type: Article

References (9)

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3. Beylkin, G., "On Wavelet Based Algorithms for Solving Differential Equations," Wavelets: Mathematics and Applications, CRC Press, Boca Raton, FL, 1994, pp. 449-466.
4. Sarkar, T. K., Adve, R., Garcia-Castillo, L. E., and Salazar-Palma, M., "Utilization of Wavelet Concepts in Finite Elements for an Efficient Solution of Maxwell's Equations," Radio Science, Vol. 29, No. 4, 1994, pp. 965-977.
5. Kurdila, A. J., Sun, T., and Gramn, P., "Affine, Fractal Interpolation Functions and Wavelet Based Finite Elements," Proceedings of the AIAA/ASME/ASCE/AHS/ASC 36th Structures, Structural Dynamics, and Materials Conference and AIAA/ASME Adaptive Structures Forum (New Orleans), AIAA, Washington, DC, 1995, pp. 2095-2105.
6. Bertoluzza, S., Naldi, G., and Ravel, J. C., "Wavelet Methods for the Numerical Solution of Boundary Value Problems on the Interval," Wavelets: Theory, Algorithms, and Applications, Vol. 5, Academic, San Diego, CA, 1994, pp. 425-448.
7. Daubechies, I., Ten Lectures on Wavelets, Society for Industrial and Applied Mathematics, Philadelphia, 1992, pp. 167-194.
8. Daubechies, I., Ten Lectures on Wavelets, Society for Industrial and Applied Mathematics, Philadelphia, 1992, pp. 195, 205, 206.
9. Reddy, J. N., An Introduction to the Finite Element Method, 2nd ed., McGraw-Hill, New York, 1993, pp. 18-59.