A one-sweep method in the solution of finite-element equations: An application to the vibration of structures in heavy fluids
A one-sweep method for the numerical solution of finite-element equations is presented. This procedure is especially efficient in computing time and storage when the solution is required at only a few nodes of the finite-element mesh. Furthermore, the method is particularly useful in dealing with problems on infinite or semi-infinite domains. Artificial boundaries must be introduced in such cases, and the one-sweep method affords an extremely efficient algorithm by which the dependence of the solution on the location of these boundaries can be assessed. An application of the method to the vibration of a half-submerged circular cylinder in a heavy fluid is presented.
Key WordsOne-sweep method invariant imbedding fluid-structure interaction
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- 1.Distéfano, N.,Invariant Imbedding and the Solution of Finite Element Equations, Journal of Mathematical Analysis and Applications, Vol. 46, No. 2, 1974.Google Scholar
- 2.Distéfano, N., andSamartin, A.,A Dynamic Programming Approach to the Formulation and Solution of Finite Element Equations, Computer Methods in Applied Mechanics and Engineering, Vol. 5, No. 1, 1975.Google Scholar
- 3.Chiu, H.,Solution of the Boundary - Value Potential Problems by a Finite Element Method with Invariant Imbedding, University of California, Berkeley, California, Department of Naval Architecture, PhD Dissertation, 1975.Google Scholar
- 4.Godunov, S. K., andRyabenki, V. S.,Theory of Difference Schemes, Appendix II, North-Holland Publishing Company, Amsterdam, Holland, 1964.Google Scholar
- 5.Angel, E., andBellman, R.,Dynamic Programming and Partial Differential Equations, Academic Press, New York, New York, 1972.Google Scholar
- 6.Lamb, H.,Hydrodynamics, Dover Publications, New York, New York, 1945.Google Scholar