标题： 非连续伽辽金逼近用于多孔介质中特征值问题的斯托克斯-布林克曼型公式 显示英文标题

标题： Discontinuous Galerkin approximation for a Stokes-Brinkman-type formulation for the eigenvalue problem in porous media

摘要： 我们引入了一类不连续伽辽金方法，基于内部惩罚策略来近似Stokes-Brinkman型问题的特征值和特征函数。 在网格的标准假设和合适的范数下，我们证明了离散方案的稳定性。 由于该方法的非协调性质，我们使用众所周知的非紧算子理论来推导该方法的收敛性和误差估计。 我们进行了一项详尽的计算分析，其中我们计算了不同稳定参数下的谱，以研究其在近似谱时的影响。 显示英文摘要

摘要： We introduce a family of discontinuous Galerkin methods to approximate the eigenvalues and eigenfunctions of a Stokes-Brinkman type of problem based in the interior penalty strategy. Under the standard assumptions on the meshes and a suitable norm, we prove the stability of the discrete scheme. Due to the non-conforming nature of the method, we use the well-known non-compact operators theory to derive convergence and error estimates for the method. We present an exhaustive computational analysis where we compute the spectrum with different stabilization parameters with the aim of study its influence when the spectrum is approximated.