标题：A mortar finite volume method for a fractured model in porous media
作者：Chen, Shuangshuang; Rui, Hongxing
作者机构：[Chen, Shuangshuang; Rui, Hongxing] Shandong Univ, Sch Math, Jinan 250100, Peoples R China.
通讯作者地址：[Rui, HX]Shandong Univ, Sch Math, Jinan 250100, Peoples R China.
来源：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
关键词：Fracture model; The mortar finite volume scheme; Non-conforming meshes;; Error estimates; Numerical experiments
摘要：In this paper, we consider a mortar finite volume method for a fractured model of flow in porous media. In this model, the permeability coefficients are variable between the fracture and the surrounding porous media. A finite volume method based on Raviart Thomas elements combined with the mortar technique of domain decomposition is presented, in which sub-domains are triangulated independently and the meshes do not match at interfaces. The great advantage of the method is avoiding solving the saddle-point problem, since the numerical scheme is just related to the pressure p, and the velocity u can be expressed by p. We also prove error estimates of order h on the discrete H-1 norm between the exact solution p and the mortar finite volume solution P and the (L-2)(2) norm between u and U. Finally, numerical experiments have been performed to show the consistency of the convergence rates with the theoretical analysis. (C) 2016 Elsevier Inc. All rights reserved.