Nonlinear Krylov and moving nodes in the method of lines

DOI10.1016/j.cam.2004.12.032zbMath1077.65106OpenAlexW2035765621MaRDI QIDQ2566747

Keith Miller

Publication date: 28 September 2005

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.2004.12.032

zbMATH Keywords

numerical examplesshallow water equationstiff systemsMethod of linesIterative linear solverMoving finite elementsMoving node finite elementsNonlinear Krylov method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Anderson Acceleration for Nonsmooth Fixed Point Problems ⋮ A bidirectional coupling procedure applied to multiscale respiratory modeling ⋮ Composite Anderson acceleration method with two window sizes and optimized damping ⋮ Asymptotic convergence analysis and influence of initial guesses on composite Anderson acceleration ⋮ Local Improvement Results for Anderson Acceleration with Inaccurate Function Evaluations ⋮ Convergence of the EDIIS Algorithm for Nonlinear Equations ⋮ Anderson Acceleration for a Class of Nonsmooth Fixed-Point Problems ⋮ Numerical methods for nonlinear equations ⋮ Convergence Analysis for Anderson Acceleration ⋮ Stabilized moving finite elements for convection dominated problems

Uses Software

• NKA

Cites Work

• Unnamed Item
• Iterative Solution of Linear Equations in ODE Codes
• Hybrid Krylov Methods for Nonlinear Systems of Equations
• Accelerated Inexact Newton Schemes for Large Systems of Nonlinear Equations
• Design and Application of a Gradient-Weighted Moving Finite Element Code I: in One Dimension
• Design and Application of a Gradient-Weighted Moving Finite Element Code II: in Two Dimensions
• Multi-Adaptive Galerkin Methods for ODEs I
• Multi-Adaptive Galerkin Methods for ODEs II: implementation and Applications
• Matrix-Free Methods for Stiff Systems of ODE’s

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