有限元广义混合法及其应用

推导了正交各向异性平面问题广义混合变分原理的泛函，以此为基础建立了该问题的有限元广义混合法。该模型的特点是其中含有一个被称为分裂因子的参数，文中给出了一种选取分裂因子的具体方法。通过算例说明， 适当调整分裂因子的值， 可以达到调整有限元模型的刚度， 降低有限元刚度矩阵的谱条件数， 提高有限元解的精度及克服有限元病态问题的目的。

Generalized Mixed Finite Elements Method and Its Application

This paper deduces the functional of generalized mixed variational principle for the plane problem of the orthogonal anisotropy, on the basis of which, the generalized mixed finite elements method for the problem is established. The model feature is to contain a parameter called as the splitting factor. This paper also suggests a concrete method to select the splitting factor. The calculated examples illustrate that appropriately regulating the value of splitting factor can reach the adjustment of stiffness of the finite element model, the reduction of the conditions number of the finite element stiffness matrix, the improvement of the finite element accuracy and the settlement of the finite element ill conditioned problems.