Spherical Interface Dynamos: Mathematical Theory, Finite Element Approximation, and Application

DOI10.1137/050635596zbMath1323.76119OpenAlexW2011762617MaRDI QIDQ5422470

Kit Hung Chan, Jun Zou, Keke Zhang

Publication date: 22 October 2007

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/050635596

zbMATH Keywords

well-posednessfinite element analysisspherical interface dynamo

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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Unconditional Superconvergence Analysis of Energy Conserving Finite Element Methods for the Nonlinear Coupled Klein-Gordon Equations ⋮ Numerical approximation of elliptic interface problems via isoparametric finite element methods ⋮ Analysis of a kinematic dynamo model with FEM-BEM coupling ⋮ Numerical recovery of magnetic diffusivity in a three dimensional spherical dynamo equation ⋮ Error estimate of a first-order time discretization scheme for the geodynamo equations ⋮ A finite element analysis on fluid motion in librating triaxial ellipsoids ⋮ Well-posedness of an electric interface model and its finite element approximation ⋮ On identifying magnetized anomalies using geomagnetic monitoring within a magnetohydrodynamic model ⋮ An efficient numerical scheme for a 3D spherical dynamo equation ⋮ A family of two-grid partially penalized immersed finite element methods for semi-linear parabolic interface problems

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