解一类抛物方程反问题的有限元方法

Finite Element Method for Solving Inverse Problems for a Class of Parabolic Equations

使用有限元方法建立求解一类含有低阶未知系数的抛物方程反问题的数值公式,论证了近似解的收敛性和误差阶估计。

Finite element method is used to obtain the numerical formulas to solve inverse problems for a class of parabolic equations with unknown low-order coefficients. The convergence and estimate of the order of error are derived with discussion.