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Imposition of free slip boundary conditions in science and engineeringsimulations presents a challenge when the simulation domain is non-trivial.Inspired by recent progress in symbolic computation of discontinuous Galerkinfinite element methods, we present a symmetric interior penalty form ofNitsche's method to weakly impose these slip boundary conditions and presentexamples of its use in the Stokes subsystem motivated by problems ingeodynamics. We compare numerical results with well established benchmarkproblems. We also examine performance of the method with iterative solvers.

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