Monotone enclosure for nonlinear PDEs using multigrid techniques

DOI10.1016/0096-3003(92)90041-XzbMath0747.65091OpenAlexW2038719622MaRDI QIDQ1184808

R. L. Voller

Publication date: 28 June 1992

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(92)90041-x

zbMATH Keywords

algorithmnumerical examplesefficiencymultigrid methodFASmonotone-including nonlinear multigrid methodnonlinear monotone-including iteration processesVolterra-Lotka systems with diffusionweakly nonlinear elliptic boundary value problems

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65)

Related Items (3)

On monotone including nonlinear multigrid methods and applications ⋮ Smoothing and monotone iterations for elliptic differential inclusions ⋮ A block monotone iterative method for numerical solutions of nonlinear elliptic boundary value problems

Uses Software

• MGOO

Cites Work

• Multigrid methods II. Proceedings of the 2nd European Conference on Multigrid Methods held at Cologne (Federal Republic of Germany), October 1-4, 1985
• Finite difference approximations to the Dirichlet problem for elliptic systems
• Multigrid methods. Proceedings of the Conference Held at Köln-Porz, November 23-27, 1981
• A monotone including multigrid-method
• On Positive Solutions of Some Pairs of Differential Equations
• Bifurcation of steady-state solutions in predator-prey and competition systems
• A New Convergence Proof for the Multigrid Method Including the V-Cycle
• On the dirichlet problem for elliptic systems
• A general monotone scheme for elliptic systems with applications to ecological models
• Newton-like methods with monotone convergence for solving nonlinear operator equations
• On the existence and uniqueness of positive steady states in the volterra-lotka ecological models with diffusion
• Monoton einschließend konvergente iterationsprozesse vom gauß‐seidel‐typ zur lösung nichtlinearer gleichungssysteme im R^N und anwendungen
• Multi-Level Adaptive Solutions to Boundary-Value Problems
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