Consistent finite difference operators that satisfy \(\nabla \cdot \nabla \times =0\)

DOI10.1016/0021-9991(89)90060-0zbMath0675.65097OpenAlexW2051734067MaRDI QIDQ1122338

Edward J. Caramana

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-9991(89)90060-0

zbMATH Keywords

finite difference operatorscylindrical geometrynoncartesian geometry

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Discrete version of topics in analysis (39A12) Difference operators (39A70) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

• A method for enforcing the solenoidal condition on magnetic field in numerical calculations
• A method for incorporating Gauss' law into electromagnetic PIC codes
• The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations

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