The Multiscale Hybrid Mixed Finite Element Method for Polygonal Meshes

Explore the application of the Multiscale Hybrid Mixed (MHM) method to polygonal meshes in this 50-minute lecture. Delve into the extension of the MHM method to polyhedral meshes, focusing on its hybrid formulation and static condensation for upscaling. Learn about the H(div)-conforming flux reconstruction and its implications for error estimation. Examine the Multiscale Hybrid (MH) method, a recent variant of MHM, and understand its key differences in Lagrange multiplier definition and problem formulation. Gain insights into collaborative research efforts in this field, including contributions from international institutions.

Gabriel Barrenechea: The Multiscale Hybris (Mixed) Finite Element Method