Local convergence of the method of pseudolinear equations for quasilinear elliptic boundary-value problems

DOI10.1016/0377-0427(84)90033-5zbMath0567.65073OpenAlexW1967863852MaRDI QIDQ1059992

John E. Lavery

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0377-0427(84)90033-5

zbMATH Keywords

Newton's methodnumerical experimentsquasilinearlocal convergencesuccessive approximationsKačanov methodpseudolinear equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Cites Work

• Solution of quasilinear hyperbolic initial-boundary-value problems by the method of pseudolinear equations
• On the extension and the solution of nonlinear operator equations
• Linear and quasilinear elliptic equations
• Solution of inhomogeneous quasilinear Dirichlet and Neumann problems by reduction to the Poisson equation and a posteriori error bounds.
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