Application of hill functions to circular plate problems
Author:
Robert Kao
Journal:
Quart. Appl. Math. 33 (1975), 63-72
DOI:
https://doi.org/10.1090/qam/99672
MathSciNet review:
QAM99672
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Abstract |
References |
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Abstract: A type of finite element—hill functions—is applied to solve circular plate problems in conjunction with the method of Lagrange multipliers which is used to treat various constraint conditions. Results obtained compare very nicely with the exact solutions.
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T. H. Lee, G. E. Adams, and W. M. Gaines, Computer process control: modeling and optimization, John Wiley and Sons, New York, (1968)
O. C. Zienkiewicz, The finite element method in engineering science, McGraw-Hill, London, 1971
J. T. Oden, Finite elements of nonlinear continua, McGraw-Hill, New York, 1972
J. Segethová, Numerical construction of the hill functions, SIAM J. Numer. Anal. 9, 199–204, (1972)
I. Babuska, The finite element method for elliptic differential equations, Lecture at symposium on the numerical solution of partial differential equations, May 1970, University of Maryland
M. H. Schultz, Finite element analysis, Department of Computer Science, Yale University, 1971
R. Kao, Approximate solutions by utilizing hill functions, Computers and Structures 3, 397–412 (1973)
S. Timoshenko and S. Woinowsky-Krieger, Theory of plates and shells, McGraw-Hill, New York, (1959)
H. Goldstein, Classical mechanics, Addison-Wesley Publishing Co., (1965)
T. H. Lee, G. E. Adams, and W. M. Gaines, Computer process control: modeling and optimization, John Wiley and Sons, New York, (1968)
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Article copyright:
© Copyright 1975
American Mathematical Society
