Finite element approximation of a model vortex problem

DOI10.1080/01630569508816617zbMath0834.65124OpenAlexW2055341876MaRDI QIDQ4844892

John W. Barrett, Patrick A. Wood

Publication date: 10 April 1996

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569508816617

zbMATH Keywords

error estimatesfinite elementvortex probleminviscid, incompressible fluid dynamicssemilinear elliptic free boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Vortex flows for incompressible inviscid fluids (76B47) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05)

Cites Work

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• A computational method of solving free-boundary problems in vortex dynamics
• Large time behaviour of solutions of the porous medium equation in bounded domains
• A property of Green's function
• Maximum principle and uniform convergence for the finite element method
• Nonlinear eigenvalue problems in elliptic variational inequalities: some results for the maximal branch

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