Banach spaces-based Mixed Finite Element Method for nonlinear Problems in Fluid Mechanic

In this course we introduce a Banach-spaces based approach to study mixed formulations of nonlinear problems. We provide an overview of the current state of the art and recent advancements in this area, focusing on solving nonlinear systems in mixed form. Specifically, we apply this approach to analyze mixed finite element methods for the Navier-Stokes problem and for the stationary incompressible magnetohydrodynamic problem.

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