In this paper, we introduce and analyze H(div)-conforming finite element methods for a nonlinear model in poroelasticity. More precisely, the flow variables are discretized by H(div)-conforming mixed finite elements, while the elastic displacement is approximated by the H(div)-conforming finite element with the interior penalty discontinuous Galerkin formulation. Optimal a priori error estimates are derived for both semidiscrete and fully discrete schemes.

中文翻译：

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非线性多孔弹性问题的H（div）相容有限元方法的收敛性分析

在本文中，我们介绍并分析了多孔弹性非线性模型中符合H（div）的有限元方法。更准确地说，流量变量由符合H（div）的混合有限元离散化，而弹性位移由符合H（div）的有限元与内部罚分不连续Galerkin公式近似。对于半离散和完全离散方案，都得出了最佳先验误差估计。