Petrov-Galerkin methods for nonlinear systems without monotonicity
DOI10.1016/S0168-9274(99)00054-9zbMath0969.65071OpenAlexW1996440580MaRDI QIDQ1596332
Publication date: 11 February 2001
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0168-9274(99)00054-9
convergencenumerical testsmonotone iterationPetrov-Galerkin methodsnonlinear systems without monotonicityordered pair of supersolution and subsolution
Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)
Related Items (2)
Cites Work
- Existence and multiplicity theorems for semi-linear elliptic boundary value problems
- An almost monotone approximation for a nonlinear two-point boundary value problem
- Analysis of a nonlinear difference scheme in reaction-diffusion
- Generalized Finite Element Methods: Their Performance and Their Relation to Mixed Methods
- Iterative and Petrov-Galerkin Methods for Solving a System of One- Dimensional Nonlinear Elliptic Equations
- Approximation Methods for Nonlinear Problems with Application to Two-Point Boundary Value Problems
- Finite element methods for second order differential equations with significant first derivatives
- On the Existence of Maximal and Minimal Solutions for Parabolic Partial Differential Equations
- Accurate Difference Methods for Nonlinear Two-Point Boundary Value Problems
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