Domain decomposition methods for the Stokes-Darcy problem

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• Marco Discacciati (Loughborough University)
• Thursday 25 October 2018, 12:00-13:00
• Nuffield G13.

If you have a question about this talk, please contact Sergey Sergeev.

The Stokes-Darcy problem has received a growing attention by the mathematical community over the last decade not only due to its many possible applications but also to its mathematical nature. Indeed, it is a good example of a multi-physics problem where two different boundary value problems are coupled into a global heterogeneous one. The approximate solution of this problem could be obtained proceeding in a monolithic way using either a direct method or a suitably preconditioned iterative method. However, its multi-physics nature makes it suitable to domain decomposition techniques which allow to recover the solution of the global problem by iteratively solving each subproblem separately. The difficulty of this approach is to guarantee effective convergence and robustness of the iterations. In this talk, I will give an overview of few domain decomposition methods for the Stokes-Darcy problem considering their convergence, robustness and performance. I will present some numerical examples to show their effectiveness for practical applications.

This talk is part of the Optimisation and Numerical Analysis Seminars series.

This talk is included in these lists:

• Nuffield G13
• Optimisation and Numerical Analysis Seminars
• School of Mathematics events

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