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