Comparison between the Discretized Continuous Gradient and the Discrete Gradient when Dealing with Nonlinear Parabolic Problems

ABSTRACT

This article presents a comparison of the discrete gradient, the discretized continuous gradient, and the intermediate gradients when dealing with inverse problems coupled with nonlinear parabolic direct problems. The article shows that the best strategy resides in differentiating the direct model after all are performed, but before the linearization procedure.