Newton type methods for solving a Hasegawa-Mima plasma model

DOI10.1016/j.amc.2023.128141arXiv2202.01554MaRDI QIDQ6048636

Sophie Moufawad, Nabil R. Nassif

Publication date: 11 October 2023

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.01554

zbMATH Keywords

Newton-type methodsfinite-element methodperiodic Sobolev spacesHasegawa-Mimaimplicit finite-differencesPetrov-Galerkin approximations

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for mixed-type systems of PDEs (35M33) Numerical analysis (65-XX)

Cites Work

• A finite-element model for the Hasegawa-Mima wave equation
• Pseudo-three-dimensional turbulence in magnetized nonuniform plasma
• New development in freefem++

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