Theoretical and numerical analysis of a class of quasilinear elliptic equations
DOI10.3934/dcdss.2020354zbMath1459.35197OpenAlexW3024038506MaRDI QIDQ1995441
Nahed Naceur, Noureddine Alaa, Moez Khenissi, Jean Rodolphe Roche
Publication date: 23 February 2021
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2020354
Newton-type methods (49M15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Quasilinear elliptic equations (35J62)
Uses Software
Cites Work
- Weak solutions of quasilinear parabolic equations with initial measure data
- On a nonlinear partial differential equation having natural growth terms and unbounded solution
- Critère d'existence de solutions positives pour des équations semi- linéaires non monotones. (Existence condition of positive solutions of non-monotonic semilinear equations)
- Résolution de problèmes elliptiques quasilineaires
- Elliptic partial differential equations of second order
- Semi-linear second-order elliptic equations in \(L^1\)
- On an application of Newton's method to nonlinear operators with \(\omega\)-conditioned second derivative
- On the \(R\)-order of convergence of Newton's method under mild differentiability conditions
- Theoretical and numerical analysis of a class of nonlinear elliptic equations
- Multiplicative Schwarz Algorithms for Some Nonsymmetric and Indefinite Problems
- Existence results for some quasilinear parabolic equations
- Domain Decomposition Algorithms for Indefinite Elliptic Problems
- Weak Solutions of Some Quasilinear Elliptic Equations with Data Measures
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- Domain Decomposition Algorithms with Small Overlap
- Schwarz Analysis of Iterative Substructuring Algorithms for Elliptic Problems in Three Dimensions
- An Optimal Two-Level Overlapping Domain Decomposition Method for Elliptic Problems in Two and Three Dimensions
- Existence for Some Quasilinear Elliptic Systems with Critical Growth Nonlinearity and L 1 Data
- Global existence for reaction-diffusion systems with mass control and critical growth with respect to the gradient
- The Newton method for operators with Hölder continuous first derivative
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