Symplectic finite element scheme: Application to a driven problem with a regular singularity

DOI10.1016/0010-4655(96)00047-1zbMath0921.65057OpenAlexW2093543721MaRDI QIDQ1282946

K. Appert

Publication date: 13 April 1999

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: http://infoscience.epfl.ch/record/121099

zbMATH Keywords

convergencefinite elementsSturm-Liouville problemfusion plasmatest problemsymplectichamiltonianmagnetohydrodynamic stabilityresistive MHD stability

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Linear boundary value problems for ordinary differential equations (34B05) Dynamical systems and ergodic theory (37-XX)

Cites Work

• Hydromagnetic stability of a diffuse linear pinch
• Galerkin method for differential equations with regular singular points
• A new finite element approach to the normal mode analysis in magnetohydrodynamics
• Linear stability of resistive MHD modes: Axisymmetric toroidal computation of the outer region matching data
• Numerical solution of the resistive magnetohydrodynamic boundary layer equations
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