MULTIRATE TIME ITERATIVE SCHEME WITH MULTIPHYSICS FINITE ELEMENT METHOD FOR A NONLINEAR POROELASTICITY

作     者：Zhihao Ge Hairun Li Tingting Li Zhihao Ge;Hairun Li;Tingting Li

作者机构：School of Mathematics and StatisticsHenan UniversityKaifengHenan 475004China 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2024年第42卷第2期

页      面：597-616页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China(Grant No.11971150) partially by the National Natural Science Foundation of China(Grant No.11801143) 

主　　题：Nonlinear poroelasticity model Multiphysics finite element method Multirate iterative scheme 

摘      要：In this paper,a multirate time iterative scheme with multiphysics finite element method is proposed and analyzed for the nonlinear poroelasticity *** original problem is reformulated into a generalized nonlinear Stokes problem coupled with a diffusion problem of a pseudo pressure field by a new multiphysics approach.A multiphysics finite element method is adopted for the spatial discretization,and the generalized nonlinear Stokes problem is solved in a coarse time step and the diffusion problem is solved in a finer time *** proposed algorithm is a decoupled algorithm,which is easily implemented in computation and reduces greatly computation *** stability analysis and the convergence analysis for the multirate iterative scheme with multiphysics finite element method are *** numerical tests are shown to demonstrate and validate the analysis results.