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• W20858356 abstract "We study a parallel Newton-Krylov-Schwarz (NKS) based algo- rithm for solving large sparse systems resulting from a fully implicit discretiza- tion of partial difierential equations arising from petroleum reservoir simula- tions. Our NKS algorithm is designed by combining an inexact Newton method with a rank-2 updated quasi-Newton method. In order to improve the computa- tional e-ciency, both DDM and SPMD parallelism strategies are adopted. The efiectiveness of the overall algorithm depends heavily on the performance of the linear preconditioner, which is made of a combination of several preconditioning components including AMG, relaxed ILU, up scaling, additive Schwarz, CRP- like(constraint residual preconditioning), Watts correction, Shur complement, among others. In the construction of the CRP-like preconditioner, a restarted GMRES is used to solve the projected linear systems. We have tested this algo- rithm and related parallel software using data from some real applications, and presented numerical results that show that this solver is robust and scalable for large scale calculations in petroleum reservoir simulations." @default.
• W20858356 created "2016-06-24" @default.
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• W20858356 date "2005-01-01" @default.
• W20858356 modified "2023-09-23" @default.
• W20858356 title "AN EFFICIENT AND EFFECTIVE NONLINEAR SOLVER IN A PARALLEL SOFTWARE FOR LARGE SCALE PETROLEUM RESERVOIR SIMULATION" @default.
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