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A finite element collocation method for the exact control of a parabolic problem

โœ Scribed by P. J. Harley; A. R. Mitchell

Publisher
John Wiley and Sons
Year
1977
Tongue
English
Weight
402 KB
Volume
11
Category
Article
ISSN
0029-5981

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โœฆ Synopsis

Abstract

A finite element method is given for the problem of exact control of a linear parabolic equation. The basis functions consist of piecewise bicubic polynomials and the differential equation is satisfied at Gaussian collocation points within each element. The overdetermined system of equations obtained is solved by the method of least squares, and a convergence argument is given for the complete procedure. Numerical results are given for two problems of boundary control.

๐Ÿ“œ SIMILAR VOLUMES

A computational method for frictional co
A computational method for frictional contact problem using finite element method
โœ Seok-Soon Lee ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 476 KB

Using the finite element method a numerical procedure is developed for the solution of the two-dimensional frictional contact problems with Coulomb's law of friction. The formulation for this procedure is reduced to a complementarity problem. The contact region is separated into stick and slip regio