An algebraic multigrid method for high order time-discretizations of the div-grad and the curl-curl equations

DOI10.1016/j.apnum.2008.03.004zbMath1160.65331OpenAlexW2154893380MaRDI QIDQ1007374

Stefan Vandewalle, Jan van Lent, Tim J. Boonen

Publication date: 20 March 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: http://eprints.uwe.ac.uk/12794/1/TW483.pdf

zbMATH Keywords

algorithmcomputational complexityconvergencefinite elementsnumerical experimentsfinite differencesRunge-Kutta methodsemidiscretizationalgebraic multigridboundary value methodcurl-curl equationsdiv-grad equationhigh order time-discretization

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items

Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow

Uses Software

• RODAS
• LFA

Cites Work

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• Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems
• Algebraic Multigrid Based on Element Interpolation (AMGe)
• Finite elements in computational electromagnetism
• On algebraic multigrid methods derived from partition of unity nodal prolongators
• Multigrid Method for Maxwell's Equations
• An Improved Algebraic Multigrid Method for Solving Maxwell's Equations
• Finite Element Methods for Maxwell's Equations
• Multigrid Waveform Relaxation on Spatial Finite Element Meshes: The Discrete-Time Case
• Local Fourier Analysis of Multigrid for the Curl-Curl Equation
• Order‐Optimal Preconditioners for Implicit Runge–Kutta Schemes Applied to Parabolic PDEs
• Toward an h-Independent Algebraic Multigrid Method for Maxwell's Equations
• Multigrid Methods for Implicit Runge--Kutta and Boundary Value Method Discretizations of Parabolic PDEs
• A review of algebraic multigrid