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Mathematics of Computation

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Block five diagonal matrices and the fast numerical solution of the biharmonic equation


Authors: Louis Bauer and Edward L. Reiss
Journal: Math. Comp. 26 (1972), 311-326
MSC: Primary 65N25
DOI: https://doi.org/10.1090/S0025-5718-1972-0312751-9
MathSciNet review: 0312751
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Abstract: A factoring and block elimination method for the fast numerical solution of block five diagonal linear algebraic equations is described. Applications of the method are given for the numerical solution of several boundary-value problems involving the biharmonic operator. In particular, 22 eigenvalues and eigenfunctions of the clamped square plate are computed and sketched.


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DOI: https://doi.org/10.1090/S0025-5718-1972-0312751-9
Keywords: Block five diagonal matrix, factoring method, block elimination procedure, biharmonic equation, biharmonic boundary-value problem, clamped elastic plate, eigenvalues, eigenfunctions, clamped cylindrical panel, perturbation expansion
Article copyright: © Copyright 1972 American Mathematical Society

American Mathematical Society