Solving hyperbolic-elliptic problems on singular mapped disk-like domains with the method of characteristics and spline finite elements

DOI10.1016/j.jcp.2019.108889zbMath1453.65352arXiv1909.05005OpenAlexW2968381019WikidataQ114163512 ScholiaQ114163512MaRDI QIDQ2222580

Edoardo Zoni, Yaman Güçlü

Publication date: 27 January 2021

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.05005

zbMATH Keywords

semi-Lagrangiansingular domainsPoisson-like equationVlasov-like equationpolar splinespseudo-Cartesian coordinates

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) First-order hyperbolic equations (35L02)

Related Items (4)

Implicitly extrapolated geometric multigrid on disk-like domains for the gyrokinetic Poisson equation from fusion plasma applications ⋮ Solver comparison for Poisson-like equations on tokamak geometries ⋮ 2D Fourier finite element formulation for magnetostatics in curvilinear coordinates with a symmetry direction ⋮ Energy-Minimizing, Symmetric Discretizations for Anisotropic Meshes and Energy Functional Extrapolation

Uses Software

• GYSELA

Cites Work

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