The Generalized Inverse Computing Method of a Class of Block Matrix from Models for Flow in Porous Materials

Abstract

The generalized inverse method of block matrix plays an effective and important role during the computing procedure of certain mathematical models. Some numerical methods for flow models in porous materials are discussed in this paper. Firstly, some partial differential equation models of flow in porous materials are given. Then a class of block matrix from the discrete systems of mathematic models by the multiscale finite element methods are analyzed. Finally, the generalized inverse of the two-by-two block matrix are obtained and the algorithm for computing the minus inverse is presented. The presented methods have an advantage of concise computing procedure for the simulation of models.