通过Nitsche方法自动弱施加自由滑动边界条件：应用于地球动力学中的非线性问题
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自由滑移边界条件是一个挑战，当模拟域是非平凡的。受最近进展的启发，在符号计算的不连续伽辽金有限元法，我们提出了一个对称的内部惩罚形式的Nitsche的方法弱施加这些滑移边界条件，并提出了使用的例子，在斯托克斯子系统的动机问题，地球动力学。我们比较数值结果与既定的基准问题。我们还研究了迭代求解器的方法的性能。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
