A parareal approach of semi‐linear parabolic equations based on general waveform relaxation

DOI10.1002/num.22390zbMath1431.65135OpenAlexW2944864160WikidataQ127851177 ScholiaQ127851177MaRDI QIDQ5214121

Zhen Miao, Yao-Lin Jiang, Jun Li

Publication date: 7 February 2020

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22390

zbMATH Keywords

convergence analysissemi-linear parabolic equationsgeneral waveform relaxationparareal approachPDE level

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) 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) Parallel numerical computation (65Y05) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11)

Related Items (6)

Some convergence results of waveform relaxation for a class of second-order quasilinear parabolic equations ⋮ Time domain decomposition of parabolic control problems based on discontinuous Galerkin semi-discretization ⋮ Analysis of the parareal approach based on discontinuous Galerkin method for time‐dependent Stokes equations ⋮ Analysis of a new accelerated waveform relaxation method based on the time-parallel algorithm ⋮ A hybrid algorithm based on parareal and Schwarz waveform relaxation ⋮ The study of parareal algorithm for the linear switched systems

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