椭圆型方程组边值问题近似解的收敛性
Convergence of the Approximate Solution for the Elliptic Boundary Value Problem
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摘要: 本文研究了在矩形域内四阶系数不连续的椭圆型方程组边值问题近似解的收敛性问题,这对某一类弹性支承上的矩形板弯曲问题有参考价值。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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[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).
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