Numerical identification of a nonlinear diffusion coefficient by discrete mollification |
| |
Authors: | Carlos E. Mejí a,Carlos D. AcostaKaterine I. Saleme |
| |
Affiliation: | a Escuela de Matemáticas, Universidad Nacional de Colombia, Medellín, Colombiab Departamento de Matemáticas y Estadística, Universidad Nacional de Colombia, Manizales, Colombiac High Performance Computing Collaboratory, Center for Advanced Vehicular Systems, Mississippi State University, Starkville, USA |
| |
Abstract: | The discrete mollification method is a convolution-based filtering procedure suitable for the regularization of ill-posed problems. Combined with explicit space-marching finite difference schemes, it provides stability and convergence for a variety of coefficient identification problems in linear parabolic equations. In this paper, we extend such a technique to identify some nonlinear diffusion coefficients depending on an unknown space dependent function in one dimensional parabolic models. For the coefficient recovery process, we present detailed error estimates and to illustrate the performance of the algorithms, several numerical examples are included. |
| |
Keywords: | Mollification Parameter identification Space-marching |
本文献已被 ScienceDirect 等数据库收录! |
|