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The Research Seminar is a weekly space that focuses on various areas of applied mathematics, with special emphasis on Mathematical Optimization and Modeling. The main objective is to share the research results of the Modemat and put the researchers of the Center in contact with academics from all over the world, in person or through virtual platforms. Organizer of the seminar: Sergio González Andrade. To subscribe to the Seminar mailing list or propose a talk in it, please write to: sergio.gonzalez@epn.edu.ec

Numerical Analysis of a Mixed Formulation for Stationary Magnetohydrodynamic Flows in Porous Media

Numerical Analysis of a Mixed Formulation for Stationary Magnetohydrodynamic Flows in Porous Media

By Jéssika Camaño, Universidad Católica de Concepción, Chile

Seminar Date: 2023-09-15

We introduce and analyze a new mixed variational formulation for a stationary magnetohydrodynamic flows in porous media problem, whose governing equations are given by the steady Brinkman--Forchheimer equations coupled with the Maxwell equations. Besides the velocity, magnetic field and a Lagrange multiplier asssociated to the divergence-free condition of the magnetic field, a convenient translation of the velocity gradient and the pseudostress tensor are introduced as further unknowns.

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