On Monotone and Schwarz Alternating Methods for Nonlinear Elliptic PDEs

DOI10.1051/m2an:2001104zbMath0976.65109OpenAlexW1982128584MaRDI QIDQ2709434

Shiu Hong Lui

Publication date: 19 December 2001

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2001__35_1_1_0

zbMATH Keywords

convergencedomain decompositionSchwarz alternating methodpopulation biologydifference methodsnonlinear elliptic PDEsmonotone methods

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Nonlinear boundary value problems for linear elliptic equations (35J65) Population dynamics (general) (92D25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

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Numerical solution of nonlinear differential boundary value problems using adaptive non-overlapping domain decomposition method ⋮ Maximum norm analysis of a nonmatching grids method for nonlinear elliptic PDEs ⋮ A parallel four step domain decomposition scheme for coupled forward-backward stochastic differential equations ⋮ On monotone iteration and Schwarz methods for nonlinear parabolic PDEs. ⋮ Schwarz methods for inequalities with contraction operators ⋮ Discrete analysis of domain decomposition approaches for mesh generation via the equidistribution principle

Cites Work

• On the nonlinear domain decomposition method
• On Schwarz alternating methods for the subsonic full potential equation
• Block monotone iterative methods for numerical solutions of nonlinear elliptic equations
• On Schwarz Alternating Methods for the Incompressible Navier--Stokes Equations
• On the Schwarz Alternating Method with More than two Subdomains for Nonlinear Monotone Problems
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Rate of Convergence of Some Space Decomposition Methods for Linear and Nonlinear Problems
• Some Nonoverlapping Domain Decomposition Methods
• Uniqueness and nonuniqueness of coexistence states in the lotka‐volterra competition model
• On Schwarz Alternating Methods for Nonlinear Elliptic PDEs
• Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
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