耦合Navier-Stokes与Darcy问题的可杂交间断Galerkin方法
A hybridizable discontinuous Galerkin method for the coupled Navier-Stokes and Darcy problem
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AI总结：
本文针对Navier-Stokes与Darcy耦合问题，提出强守恒的可杂交间断Galerkin方法，证明速度误差与压力无关且两者均最优收敛，并用数值实验验证。
AI中文摘要：
我们提出并分析了一种强守恒的可杂交间断Galerkin有限元方法，用于求解带有Beavers-Joseph-Saffman界面条件的不可压缩Navier-Stokes与Darcy耦合问题。先验误差分析表明，速度误差不依赖于压力，且速度和压力均以最优速率收敛。这些结果通过数值算例得到了验证。
英文摘要：
We present and analyze a strongly conservative hybridizable discontinuous Galerkin finite element method for the coupled incompressible Navier-Stokes and Darcy problem with Beavers-Joseph-Saffman interface condition. An a priori error analysis shows that the velocity error does not depend on the pressure, and that velocity and pressure converge with optimal rates. These results are confirmed by numerical examples.
