Combination of Multigrid with Constraint Data for Inverse Problem of Nonlinear Diffusion Equation

Combination of Multigrid with Constraint Data for Inverse Problem of Nonlinear Diffusion Equation

Blog Article

This paper delves into a rapid and accurate numerical solution for the inverse problem of the nonlinear diffusion equation in the acure face lotion context of multiphase porous media flow.For the realization of this, the combination of the multigrid method with constraint data is utilized and investigated.Additionally, to address the ill-posedness of the inverse problem, the Tikhonov regularization is incorporated.

Numerical results demonstrate the computational performance of this method.The proposed combination strategy displays remarkable here capabilities in reducing noise, avoiding local minima, and accelerating convergence.Moreover, this combination method performs better than any one method used alone.