论文标题
通过Nitsche的方法自动弱施加自由滑移边界条件：应用于地球动力学的非线性问题
Automatic weak imposition of free slip boundary conditions via Nitsche's method: application to nonlinear problems in geodynamics
论文作者
论文摘要
当仿真域是非平凡时，科学和工程模拟中的自由滑移边界条件都会提出挑战。受到不连续的Galerkin有限元方法象征性计算的最新进展的启发，我们提出了Nitsche方法的对称内部惩罚形式，即弱施加了这些滑移边界条件，并提供了其在地球动力学中问题动机的Stokes子系统中使用的例子。我们将数值结果与确定的基准问题进行比较。我们还使用迭代求解器检查了该方法的性能。
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.
