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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…
math.NA2025
Surface Stokes Without Inf-Sup Condition
Ricardo H. Nochetto, Mansur Shakipov
For a -dimensional hypersurface of class without boundary, we reformulate the surface Stokes equations as a nonsymmetric indefinite elliptic problem governed by two Laplac…
math.NA2024
Inf-Sup Stability of Parabolic TraceFEM
Lucas Bouck, Ricardo H. Nochetto, Mansur Shakipov +1
We develop a parabolic inf-sup theory for a modified TraceFEM semi-discretization in space of the heat equation posed on a stationary surface embedded in . We conside…