Numerical solution of the quasilinear Poisson equation in a nonuniform triangle mesh. (Reprint)

DOI10.1006/jcph.1997.5698zbMath0890.65123OpenAlexW2043661645MaRDI QIDQ1379879

Alan M. Winslow

Publication date: 6 July 1998

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

Full work available at URL: https://doi.org/10.1006/jcph.1997.5698

zbMATH Keywords

finite difference methodnumerical examplesgrid generationsuccessive overrelaxationquasilinear Poisson equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06) Collected or selected works; reprintings or translations of classics (01A75) History of numerical analysis (65-03)

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Cites Work

• Unnamed Item
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• Iteration Methods for Nonlinear Problems
• Note on Fitting of Functions of Several Independent Variables
• The Triangulation of a Two-Dimensional Continuum for the Purpose of the Approximate Solution of Second-Order Partial Differential Equations
• An asymmetrical finite difference network
• Use of Restricted Variational Principles for the Solution of Differential Equations
• Variational methods for the solution of problems of equilibrium and vibrations