标题： 通过Nitsche方法自动弱施加无滑移边界条件：在地球动力学非线性问题中的应用 显示英文标题

标题： Automatic weak imposition of free slip boundary conditions via Nitsche's method: application to nonlinear problems in geodynamics

摘要： 在科学和工程模拟中施加无滑移边界条件在模拟区域非平凡时是一个挑战。 受不连续伽辽金有限元方法符号计算最近进展的启发，我们提出了一种对称内部惩罚形式的Nitsche方法，以弱形式施加这些无滑移边界条件，并展示了其在由地球动力学问题引发的斯托克斯子系统中的应用示例。 我们将数值结果与已建立的基准问题进行比较。 我们还检查了该方法在迭代求解器中的性能。 显示英文摘要

摘要： Imposition of free slip boundary conditions in science and engineering simulations presents a challenge when the simulation domain is non-trivial. Inspired by recent progress in symbolic computation of discontinuous Galerkin finite element methods, we present a symmetric interior penalty form of Nitsche's method to weakly impose these slip boundary conditions and present examples of its use in the Stokes subsystem motivated by problems in geodynamics. We compare numerical results with well established benchmark problems. We also examine performance of the method with iterative solvers.