摘要
通过误差平方和最小原则及正则化方法,将稳态对流扩散方程参数反问题转化为一个变分问题,通过拉格朗日乘子法和有限元离散,并利用Armijo型线性搜索和最速下降法得到了数值计算方法。数值解与精确解的比较表明了此算法的可行性和有效性。
The inverse problem of the steady-state convection-diffusion equation with parameter was studied by the minimum principle of the error square sum and regularization method. It was transformed into a variational problem by Lagrange multiplier method and the finite element discretization. Using Armijo-type line search and the steepest descent method, the numerical calculations and compare with exact solutions were obtained. The results show that this algorithm is effective and feasible.
出处
《水动力学研究与进展（A辑）》
CSCD
北大核心
2012年第3期239-247,共9页
Chinese Journal of Hydrodynamics
基金
国家自然科学基金资助项目(50979088)~~
