广义差分法介绍和解带低阶项梁的平衡方程的广义方法

Generalized Methods for Solving the Beam Equilibrium Equations with Low Order Terms

讨论了带低阶项的梁的平衡方程的广义解法,分析了解的稳定性、收敛性和存在唯一性。试探函数空间是V_h取Hermite三次元有限空间;检验函数取在小区间中点不连续的分段线性函数(参见[3])。

In this article,we discussed generalized methods for solving the beam eguilibriurr equation with low order terms, analysed stability, convergence and uniqueness of the solution. The trial subspaces Uh are constructed from piecewise hermite cubics in the primary subdivisions, and the test subspaces Vh from piecewise linear functions are got in the dual subdivisions(Cf.[1]).