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一类非线性边值问题有限元解的迭代方法

李开泰,黄艾香   

  1. 西安交通大学 ;西安交通大学
  • 出版日期:1981-03-20 发布日期:1981-03-20

李开泰,黄艾香. 一类非线性边值问题有限元解的迭代方法[J]. 数值计算与计算机应用, 1981, 2(3): 169-174.

ITERATIVE METHOD OF THE FINITE ELEMENT SOLUTION FOR A NONLINEAR BOUNDARY VALUE PROBLEM

  1. Li Kai-tai;Huang Ai-hsiang
  • Online:1981-03-20 Published:1981-03-20
设方程(1)满足: A)区域Ω R~n是有界开集,它的边界αΩ是一个局部光滑的n—1维流形,Ω满足强锥条件.
If operator of a nonlinear boundary value problem is a monotone one then theiterative method of the finite element solution may be given. In doing so,it is notnecessary to solve the system of nonlinear algebraic equations, but to construct thebasis and the dual basis functions of the finite element subspace. Furthermore thisarticle has proved the covergence of approximate solution.
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[1] P. G. Giarlet, M. H. Schultz, K. S. Varga, Numerical Methods of High-Order Accuracy for Nonlinear Boundary Value Problems V Monotone Operator Theory, Numer. Math., 13(1969) ,55-57.
[2] J. T. Oden, J. N. Reddy, An Introduction to the Mathematical Theory of Finite Elements 1976. ~~
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