[1] C. Engwer, R.D. Falgout, U.M. Yang, Stencil computations for PDE-based applications with ex-
amples from DUNE and hypre, Concurr. Comput. Pract. Exp 29 (2017) e4097.
[2] S. Friedhoff, S. MacLachlan, A generalized predictive analysis tool for multigrid methods, Numer.
Linear Algebra Appl. 22 (2015) 618–647.
[3] M.J. Gander, 50 Years of Time Parallel Time Integration, Springer, (2015) 69–113.
[4] F.J. Gaspar, J.L. Gracia, F.J. Lisbona, Fourier analysis for multigrid methods on triangular grids,
SIAM J. Sci. Comput. 31 (2009) 2081–2102.
[5] F.J. Gaspar, C. Rodrigo, Multigrid waveform relaxation for the time-fractional heat equation, SIAM
J. Sci. Comput. 39 (2017) A1201–A1224.
[6] M.S. Gockenbach, Understanding and Implementing the Finite Element Method, SIAM, 2006.
[7] X. Hu, C. Rodrigo, F.J. Gaspar, Using hierarchical matrices in the solution of the time-fractional
heat equation by multigrid waveform relaxation., J. Comput. Phys. 416 (2020) 109540.
[8] Ch. Lubich, A. Ostermann, Multi-grid dynamic iteration for parabolic equations, BIT Numer.
Math. 27 (1987) 216–234.
[9] M.F. Malacarne, M.A. Villela Pinto, S.R. Franco, Subdomain Method in Time with Waveform Re-
laxation in Space Applied to the Wave Equation Combined with the Multigrid Method, Available at
SSRN 4089078 (2022).
[10] U. Miekkala, O. Nevanlinna, Convergence of dynamic iteration methods for initial value problems,
SIAM J. Sci. Statist. Comput. 8 (1987) 459–482.
[11] C. Rodrigo,F.J. Gaspar, F.J. Lisbona, Geometric multigrid methods on semi-structured triangular
grids, The 7 th GRACM Congress hosts the 1 st ECCOMAS PhD Olympiad (2011) P.175.
[12] U. Trottenberg,C.W. Oosterlee, A. Schuller, Multigrid, Elsevier, 2000.
[13] S. Vandewalle, D. Roose, The parallel waveform relaxation multigrid method, Parallel Processing
for Scientific Computing (1989) 152–156.
[14] R. Wienands, W. Joppich, Practical Fourier Analysis for Multigrid Methods, Chapman and
Hall/CRC, 2004.