@article{jenkins_kees_kelley_miller_2001, title={An aggregation-based domain decomposition preconditioner for groundwater flow}, volume={23}, ISSN={["1095-7197"]}, DOI={10.1137/S1064827500372274}, abstractNote={We consider theoretical and computational issues associated with an aggregation-based domain decomposition preconditioner applied to a Bi-CGSTAB iterative solver used to solve both Laplace's equation and an important nonlinear model from hydrology used to simulate unsaturated flow, Richards' equation. Theoretical results for Laplace's equation provide estimates of the condition number and the rate of convergence for a two-level Schwarz domain decomposition preconditioner. Computational results for Laplace's equation and Richards' equation show excellent scalability, although no theory is yet available to support the results for the difficult nonlinear problem.}, number={2}, journal={SIAM JOURNAL ON SCIENTIFIC COMPUTING}, author={Jenkins, EW and Kees, CE and Kelley, CT and Miller, CT}, year={2001}, month={Aug}, pages={430–441} }