分层有限分析法稳定性及相容性分析

Stability and Compatibility of Separated- Layer Finite Analytic Method

给出了当子域边界函数取分段指数函数或分段线性函数的两种分层有限分析格 式。证明了满足一定条件时，这两种格式都是Ｌ∞稳定和相容的；并对两个算例进行 了数值计算，其结果与有关文献吻合很好。

According to the Finite-Analytic method of separated-layer in the reference, when the boundary functions are chosen as dividing linear functions or exponen-tial functions in the subregion, two kinds of Finite-Analytic expressions of separated layers are given in this paper. While some conditions are satisfied, these two expressions are all L∞, stable and compatible. At the same time of the theoretical analysis, two fluid flow problems are calculated with these expressions and the numerical results well agree with those of relative references.