Jenkins, E. W.; Kees, C. E.; Kelley, C. T.; Miller, C. T. An aggregation-based domain decomposition preconditioner for groundwater flow. (English) Zbl 1036.65109 SIAM J. Sci. Comput. 23, No. 2, 430-441 (2001). The authors analyze the theoretical and computational aspects of the aggregation-based domain decomposition preconditioner applied to a Bi-CGSTAB iterative solver. The solver is used to integrate numerically Laplace’s equation and Richards’ (nonlinear) equation. The numerical experiments exhibit excellent scalability. Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) Cited in 6 Documents MSC: 65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs 76S05 Flows in porous media; filtration; seepage 86A05 Hydrology, hydrography, oceanography 65H10 Numerical computation of solutions to systems of equations 65F35 Numerical computation of matrix norms, conditioning, scaling 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 35Q35 PDEs in connection with fluid mechanics Keywords:domain decomposition; Newton-Krylov-Schwarz method; Laplace’s equation; Richard’s equation; aggregation; conjugate gradient method; preconditioner; Bi-CGSTAB iterative solver; numerical experiments Software:KELLEY PDFBibTeX XMLCite \textit{E. W. Jenkins} et al., SIAM J. Sci. Comput. 23, No. 2, 430--441 (2001; Zbl 1036.65109) Full Text: DOI