ANALYSIS AND NUMERICAL APPROXIMATIONS OF EQUATIONS OF NONLINEAR POROELASTICITY
ANALYSIS AND NUMERICAL APPROXIMATIONS OF EQUATIONS OF NONLINEAR POROELASTICITY
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非线性孔隙弹性方程的分析及数值逼近
DOI：
10.3934/dcdsb.2013.18.1253
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发表时间：
2013
影响因子：
1.2
通讯作者：
["Yanzhao Cao
中科院分区：
文献类型：
--
作者：
["Yanzhao Cao
拟静态渗流方程
通过弹性多孔
媒体在考虑。假设水力传导系数
非线性地依赖于介质的位移（膨胀）。利用改进的Rothe方法证明了弱解的存在性。被认为是由有限元方法的解决方案的数值近似。误差估计和数值
最后通过实验验证了理论分析的正确性和有效性
的数值方法。
The equations of quasi-static poroelasticity which model flow
through elastic porous
media are considered. It is assumed that the hydraulic conductivity
depends nonlinearly on the displacement (the dilatation) of the medium. The existence of a weak solution is proved using the modified Rothe's method. Numerical approximations of solutions by the finite element method are considered. Error estimates are obtained and numerical
experiments are conducted to illustrate the theoretical results, and the efficiency and accuracy
of the numerical method.
影响因子：
3.1
作者：
Roose, T;Netti, PA;Jain, RK
通讯作者：
Jain, RK