Fast Numerical Solution of Time-Periodic Parabolic Problems by a Multigrid Method

DOI10.1137/0902017zbMath0483.65062OpenAlexW2075898997MaRDI QIDQ3942340

Wolfgang Hackbusch

Publication date: 1981

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0902017

zbMATH Keywords

numerical resultsfinite elementmultigrid methodleast squareperiodic time conditiontime- periodic parabolic problem

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Initial-boundary value problems for higher-order parabolic equations (35K35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (13)

Wavelet-In-Time Multigrid-In-Space Preconditioning of Parabolic Evolution Equations ⋮ Matrix time-extrapolation algorithm for solving semilinear parabolic problems ⋮ Newton--Picard Preconditioners for Time-Periodic Parabolic Optimal Control Problems ⋮ Nested multigrid methods for time-periodic, parabolic optimal control problems ⋮ Convergence analysis and optimization of a Robin Schwarz waveform relaxation method for time-periodic parabolic optimal control problems ⋮ Direct Finite Element Computation of Periodic Adsorption Processes ⋮ Analysis of a new parareal algorithm based on waveform relaxation method for time-periodic problems ⋮ Error estimates for the numerical solution of a time-periodic linear parabolic problem ⋮ A High-Efficient Algorithm for Parabolic Problems with Time-Dependent Coefficients ⋮ A rational Krylov method for solving time-periodic differential equations ⋮ A new parareal waveform relaxation algorithm for time-periodic problems ⋮ Application of multigrid methods for integral equations to two problems from fluid dynamics ⋮ Diagonalization-based parallel-in-time algorithms for parabolic PDE-constrained optimization problems

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