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math.NA2026
A priori error analysis for the Shliomis ferrofluid model without magnetic regularization
Gonzalo A. Benavides, Ricardo H. Nochetto
We develop and analyze a family of conforming, energy-stable spatial semidiscretizations of the Shliomis ferrofluid model in two and three space dimensions. Unlike many existing nu…
math.NA2026
Convergence of a fully discrete finite element method for the Beris-Edwards system of liquid crystal dynamics
Gonzalo A. Benavides, Franziska Weber
We propose and analyze a fully discrete finite element scheme for the Beris-Edwards system of nematic liquid crystal dynamics, in which the incompressible Navier-Stokes equations a…
math.NA2026
Ferrofluids: Modeling and Approximation
Gonzalo A. Benavides, Ricardo H. Nochetto, Mansur Shakipov
Starting from Maxwell's and linear momentum balance equations, we derive a ferrofluid model using the generalized Onsager's principle. Guided by a discrete perturbation estimate, w…