On the continuous and discrete well-posedness of perturbed saddle-point formulations in Banach spaces

DOI10.1016/j.camwa.2022.04.009OpenAlexW4225298577MaRDI QIDQ2147295

Claudio I. Correa, Gabriel N. Gatica

Publication date: 23 June 2022

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2022.04.009

zbMATH Keywords

Banach spacessaddle-point formulationNernst-Planck equationinf-sup conditions

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (5)

New mixed finite element methods for the coupled Stokes and Poisson–Nernst–Planck equations in Banach spaces ⋮ New mixed finite element methods for the coupled convective Brinkman-Forchheimer and double-diffusion equations ⋮ A Banach spaces-based mixed finite element method for the stationary convective Brinkman-Forchheimer problem ⋮ New non-augmented mixed finite element methods for the Navier-Stokes-Brinkman equations using Banach spaces ⋮ Mixed-primal methods for natural convection driven phase change with Navier-Stokes-Brinkman equations

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• Stability of saddle point problems with penalty
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