Comparison of Different Multi-Grid Variants for Nonlinear Equations

DOI10.1002/zamm.19920720214zbMath0766.65044OpenAlexW1985311808MaRDI QIDQ4031717

Wolfgang Hackbusch

Publication date: 1 April 1993

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19920720214

zbMATH Keywords

numerical resultsnonlinear equationNewton methodmultigrid iterationtest exampleFAS methodfull approximation storage method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical computation of solutions to systems of equations (65H10) Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

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Numerical solution and convergence analysis of steam injection in heavy oil reservoirs ⋮ New smoother to enhance multigrid-based methods for Bratu problem ⋮ A simple solution of the Bratu problem ⋮ Blind wavelet compression of the solution of a nonlinear PDE with singular forcing term within optimal order cost: stability of restricted approximation to small errors ⋮ Nonlinear multigrid methods for second order differential operators with nonlinear diffusion coefficient ⋮ On the accurate discretization of a highly nonlinear boundary value problem ⋮ An efficient nonlinear multigrid scheme for 2D boundary value problems ⋮ Composing Scalable Nonlinear Algebraic Solvers

Cites Work

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