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Missing boundary data recovery using Nash games: the Stokes system

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We consider the Cauchy-Stokes problem. We use a new method based on Nash game theory to recover the missing velocity and normal stress on some inaccessible part of the boundary.… Click to show full abstract

We consider the Cauchy-Stokes problem. We use a new method based on Nash game theory to recover the missing velocity and normal stress on some inaccessible part of the boundary. This method is used with two different approaches. The first one is compared to a control type one. The numerical study attests that both approaches give accurate results. We compare these results with those of the energy-like minimization method.

Keywords: data recovery; using nash; missing boundary; boundary data; recovery using; nash games

Journal Title: Numerical Algorithms
Year Published: 2017

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