3.8 Proceedings Paper

The Semi-smooth Newton Method for Solving the Stokes Flow with Coulomb Slip Boundary Conditions

Publisher

AMER INST PHYSICS
DOI: 10.1063/1.5114325

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Funding

  1. Czech Science Foundation [17-01747S]
  2. Ministry of Education, Youth and Sports from the National Programme of Sustainability (NPS II) project IT4Innovations excellence in science [LQ1602]
  3. internal BUT FIT project [FIT-S-17-4014]

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This contribution deals with the numerical realization of the Stokes system involving the local Coulomb slip boundary conditions. The algebraic formulation arising from a finite element approximation leads to a non-smooth system of algebraic equations which is solved by the semi-smooth Newton method using the active/inactive set strategy. Results of a model example are presented.

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