Mixed finite element approximation of the vector potential

DOI10.1007/BF01398379zbMath0596.76073OpenAlexW1556484281MaRDI QIDQ1079065

Rüdiger Verfürth

Publication date: 1987

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133178

zbMATH Keywords

optimal error estimatesmixed finite element approximationsaddle-point formulationminimal regularity assumptionsBabuška paradoxpiecewise constant elementsrotational correctionssimulation of perfect fluidsthree dimensional vector potentialtransonic potential flows

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Transonic flows (76H05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Analysis and finite element approximation of a Ladyzhenskaya model for viscous flow in streamfunction form, Least‐squares formulations for Stokes equations with non‐standard boundary conditions—A unified approach, \(L^p\)-theory for Stokes and Navier-Stokes equations with Navier boundary condition, A gauge finite element method for the 2D Navier-Stokes problem, Vector potentials in three-dimensional non-smooth domains, Meshfree Finite Differences for Vector Poisson and Pressure Poisson Equations with Electric Boundary Conditions, On variational formulations for the Stokes equations with nonstandard boundary conditions, Approximation of linear force-free fields in bounded 3-D domains., A finite-element method for computing nonlinear force-free fields

Cites Work

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• The finite element method with Lagrangian multipliers
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