耦合Navier-Stokes/Biot问题的可混合不连续Galerkin方法
A hybridizable discontinuous Galerkin method for the coupled Navier-Stokes/Biot problem
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AI总结:
本文提出一种可混合不连续Galerkin方法求解耦合Navier-Stokes/Biot问题,给出稳定性条件与先验误差估计,并通过数值算例验证。
AI中文摘要:
本文提出了一种可混合不连续Galerkin方法,用于求解通过界面条件耦合的含时Navier-Stokes方程与准静态孔隙弹性方程。我们确定了保证全离散问题稳定性和适定性的数据界限,并证明了先验误差估计。数值算例验证了我们的分析。
英文摘要:
In this paper we present a hybridizable discontinuous Galerkin method for the time-dependent Navier-Stokes equations coupled to the quasi-static poroelasticity equations via interface conditions. We determine a bound on the data that guarantees stability and well-posedness of the fully discrete problem and prove a priori error estimates. A numerical example confirms our analysis.