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2017 | 6(4) Cross-Border Exchange of Experience in Production Engineering Using Principles of Mathematics | 274--285
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Preconditioning in the Path-Following Algorithm for the Stokes Flow with Stick-Slip Conditions

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The Stokes problem with the stick-slip boundary condition is solved by the mixed finite element method combined with the TFETI method. An interior point method for the minimization subject to box and equality constraints is used. The preconditioned projected conjugate gradient method solves the inner linear systems. The preconditioners are tested experimentally. The aim of our research is to develop efficient solvers for modelling of a flow over hydrophobic walls that exhibits applications in engineering areas including biomedical modelling or transport of fluid. (original abstract)
  • VŠB - Technical University of Ostrava, Czech Republic
  • VŠB - Technical University of Ostrava, Czech Republic
  • VŠB - Technical University of Ostrava, Czech Republic
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