论文标题
Darcy-Stokes-Brinkman界面问题的扩展高清方法
An eXtended HDG method for Darcy-Stokes-Brinkman interface problems
论文作者
论文摘要
本文提出了一种在两个和三个维度中的darcy-Stokes-Stokes-brinkman界面问题的界面/边界未配置的扩展杂交不连续的盖尔金（X-HDG）方法。该方法使用分段线性多项式用于速度近似值和分段常数，用于速度梯度和界面内部元素内部元素内部的压力近似值，用于在界面分离的元素内部，用于在数值的速度范围内进行分段常数，用于速度的数值痕迹，用于较大的属性属性，或使用了多个属性的属性，或者使用了零用的构造，或者使用零用的组成量零散的属性构造，并且界面上的速度。对于接口未拟合的X-HDG方案，得出了最佳错误估计。提供数值实验来验证所提出方法的理论结果和鲁棒性。
This paper proposes an interface/boundary-unfitted eXtended hybridizable discontinuous Galerkin (X-HDG) method for Darcy-Stokes-Brinkman interface problems in two and three dimensions. The method uses piecewise linear polynomials for the velocity approximation and piecewise constants for both the velocity gradient and pressure approximations in the interior of elements inside the subdomains separated by the interface, uses piecewise constants for the numerical traces of velocity on the inter-element boundaries inside the subdomains, and uses piecewise constants or linear polynomials for the numerical traces of velocity on the interface. Optimal error estimates are derived for the interface-unfitted X-HDG scheme. Numerical experiments are provided to verify the theoretical results and the robustness of the proposed method.
