Convergence of the Approximate Solution for the Elliptic Boundary Value Problem

Li Qing-xi

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Li Qing-xi. Convergence of the Approximate Solution for the Elliptic Boundary Value Problem[J]. Applied Mathematics and Mechanics, 1987, 8(5): 405-411.

Citation:

Li Qing-xi. Convergence of the Approximate Solution for the Elliptic Boundary Value Problem[J]. Applied Mathematics and Mechanics, 1987, 8(5): 405-411.

Citation:

Li Qing-xi. Convergence of the Approximate Solution for the Elliptic Boundary Value Problem[J]. Applied Mathematics and Mechanics, 1987, 8(5): 405-411.

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Convergence of the Approximate Solution for the Elliptic Boundary Value Problem

Li Qing-xi

Wuhan University, Wuhan

Received Date: 1986-03-12
Publish Date: 1987-05-15

Abstract

Abstract

The convergence of approximate solutions of boundary value problem of fourth order elliptic differential equations with uncontinuous coefficients in a rectangular region is investigated in this paper. This is useful for certain bending problems of rectangular plate on elastic supports.

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References(4)

References

[1]	Ekland, Ternam, Analyse Convexe et Probler Variationnels, North-Holland (1976).
[2]	Glowinski, Introduction to the Approximation of Elliptic Variational Inequalities, Université Paris VI (1976).
[3]	Strang, Fix, An Analyse of the Finite Element Method, Prentice Hall (1973).
[4]	Ciarlet, Numerical Analysis of The Finite Element Methods, Les Presses de L'université de Montréal (1976).