论文标题
瞬间和发散操作员对stokes方程的准最佳和压力强大离散
Quasi-optimal and pressure robust discretizations of the Stokes equations by moment- and divergence-preserving operators
论文作者
论文摘要
我们通过新的准最佳和压力鲁棒不连续的盖尔金离散化任意顺序来近似Stokes方程的解。这意味着与压力无关的速度误差的准选项。此外，对于连续问题可以接受的任何负载，离散化是明确的，并且还为速度和压力误差之和的经典准最佳估计值提供了。关键设计原理是仔细离散涉及线性操作员的负载，该负载将不连续的Galerkin测试函数映射到符合符合的功能，从而保留了离散的差异和面部和元素上的某些力矩条件。
We approximate the solution of the Stokes equations by a new quasi-optimal and pressure robust discontinuous Galerkin discretization of arbitrary order. This means quasi-optimality of the velocity error independent of the pressure. Moreover, the discretization is well-defined for any load which is admissible for the continuous problem and it also provides classical quasi-optimal estimates for the sum of velocity and pressure errors. The key design principle is a careful discretization of the load involving a linear operator, which maps discontinuous Galerkin test functions onto conforming ones thereby preserving the discrete divergence and certain moment conditions on faces and elements.
