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Recent Advances in FE Methods for Coupled Problems in Incompressible Fluid Dynamics

Tamas Horvath, Oakland University
Loic Cappanera, University of Houston
Giselle Sosa Jones, Oakland University
Coupled problems appear in many important real-life applications, such as multiphase flows, water waves, magnetohydrodynamics, fluid-structure interactions, etc. One possible way to approximate the solution to such problems is to use finite element methods. Finite element methods have been of great interest in the applied mathematics and engineering communities due to their applicability to a wide range of problems. As a result, many different FE methods have been developed to handle these problems. In this minisymposium, we aim to provide a platform to researchers developing novel FE techniques for coupled problems in incompressible fluid dynamics. Numerical methods of interest include but are not limited to stabilized finite elements, discontinuous Galerkin, hybridized/embedded discontinuous Galerkin, Trefftz discontinuous Galerkin.