Solution of a class of quasilinear Dirichlet and Neumann problems by the method of reduction

DOI10.1007/BF02189349zbMath0498.35038MaRDI QIDQ1171219

John E. Lavery

Publication date: 1980

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182425

zbMATH Keywords

Euler-Lagrange equationsvariational formulationquasilinear elliptic equationsfluid flowDirichlet problem in the planeNewton-Kantorovich difference schemereduction method of Kantorovichvariational Neumann problems

Mathematics Subject Classification ID

Newton-type methods (49M15) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (1)

The methods of pseudolinear equations and successive approximations for quasilinear two-point boundary-value problems

Cites Work

• Study of the W(2)(2)-convergence of difference schemes for quasilinear elliptic equations
• Convergence and Stability of Nonlinear Finite Element Equations
• Solution of inhomogeneous quasilinear Dirichlet and Neumann problems by reduction to the Poisson equation and a posteriori error bounds.
• On factorization method

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