【摘要】 将Lagrange乘子法引入二阶伴随模型的构造,将正模型和一阶伴随模型构建到一个目标函数中,通过对目标函数取一阶变分直接得到了二阶伴随方程,简化了二阶伴随模型的构造.对Lagrange乘子法构造一阶、二阶伴随模型的过程进行了讨论,并以非线性浅水波方程为例,利用Lagrange乘子法对一阶和二阶伴随模型进行了推导.更多还原

【Abstract】 A second order adjoint model(SOA model) was developed based on the theory of Lagrange multiplier.The forward model and first order adjoint model(FOA model) were introduced into an objective function.The SOA model can be obtained from the first order variation of the objective function.This simple construction process of FOA and SOA model was analyzed in detail and used in the construction of FOA and SOA model of shallow water equations.更多还原