On monotone iteration and Schwarz methods for nonlinear parabolic PDEs.
DOI10.1016/j.cam.2003.06.001zbMath1038.65090OpenAlexW1966150644MaRDI QIDQ1421209
Publication date: 26 January 2004
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2003.06.001
convergencedomain decompositionSchwarz alternating methodsubsolutionsupersolutionadditive Schwarz methodnonlinear parabolic PDEmonotone methods
Nonlinear parabolic equations (35K55) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the nonlinear domain decomposition method
- Additive Schwarz algorithms for parabolic convection-diffusion equations
- On linear monotone iteration and Schwarz methods for nonlinear elliptic PDEs
- Block monotone iterative methods for numerical solutions of nonlinear elliptic equations
- Mildly nonlinear elliptic partial differential equations and their numerical solution. I
- On Schwarz Alternating Methods for the Incompressible Navier--Stokes Equations
- On Monotone and Schwarz Alternating Methods for Nonlinear Elliptic PDEs
- Global and uniform convergence of subspace correction methods for some convex optimization problems
- On the Schwarz Alternating Method with More than two Subdomains for Nonlinear Monotone Problems
- Nonlinear elliptic boundary-value problems in unbounded domains
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- Rate of Convergence of Some Space Decomposition Methods for Linear and Nonlinear Problems
- Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation
- Multiplicative Schwarz Methods for Parabolic Problems
- On Schwarz Alternating Methods for Nonlinear Elliptic PDEs
- Waveform Relaxation with Fast Direct Methods as Preconditioner
- Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
- Nonlinearly Preconditioned Inexact Newton Algorithms
- A Space-Time Multigrid Method for Parabolic Partial Differential Equations
- Subspace correction methods for nonsymmetric parabolic problems
This page was built for publication: On monotone iteration and Schwarz methods for nonlinear parabolic PDEs.
