The optimization of approximate-factorization schemes for solving elliptic partial differential equations in three dimensions, featuring a new two-factor scheme

DOI10.1016/0021-9991(88)90041-1zbMath0654.65068OpenAlexW1988002656MaRDI QIDQ1108749

D. Catherall

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-9991(88)90041-1

zbMATH Keywords

convergencetransonic flowpotential equationapproximate-factorization schemesthree-dimensional Laplace equation

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Transonic flows (76H05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• Potential flow calculation by the approximate factorisation method
• Elliptic grid generation
• The Numerical Solution of Parabolic and Elliptic Differential Equations

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