155 citations
- Centre National de la Recherche ScientifiqueFR31 papers
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- Laboratoire Ondes et Matière d'AquitaineFR28 papers
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- Monash UniversityAU12 papers
- N. I. Lobachevsky State University of Nizhny NovgorodRU11 papers
- Universidad Adventista de ChileCL11 papers
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Showing 2022 · math.NAShow all
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math.NA2022★ 22 cited
Optimal error estimates of coupled and divergence-free virtual element methods for the Poisson--Nernst--Planck/Navier--Stokes equations
Mehdi Dehghan, Zeinab Gharibi, Ricardo Ruiz-Baier
In this article, we propose and analyze a fully coupled, nonlinear, and energy-stable virtual element method (VEM) for solving the coupled Poisson-Nernst-Planck (PNP) and Navier--S…
math.NA2022★ 3 cited
A new DG method for a pure--stress formulation of the Brinkman problem with strong symmetry
Salim Meddahi, Ricardo Ruiz-Baier
A strongly symmetric stress approximation is proposed for the Brinkman equations with mixed boundary conditions. The resulting formulation solves for the Cauchy stress using a symm…