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SIAMSC
2011
151views more  SIAMSC 2011»
12 years 10 months ago
Inexact Newton Methods with Restricted Additive Schwarz Based Nonlinear Elimination for Problems with High Local Nonlinearity
The classical inexact Newton algorithm is an efficient and popular technique for solving large sparse nonlinear system of equations. When the nonlinearities in the system are wellb...
Xiao-Chuan Cai, Xuefeng Li
PARA
2004
Springer
13 years 9 months ago
A Combined Linear and Nonlinear Preconditioning Technique for Incompressible Navier-Stokes Equations
Abstract. We propose a new two-level nonlinear additive Schwarz preconditioned inexact Newton algorithm (ASPIN). The two-level nonlinear preconditioner combines a local nonlinear a...
Feng-Nan Hwang, Xiao-Chuan Cai
CPHYSICS
2010
184views more  CPHYSICS 2010»
13 years 3 months ago
Parallel Newton-Krylov-Schwarz algorithms for the three-dimensional Poisson-Boltzmann equation in numerical simulation of colloi
We investigate fully parallel Newton-Krylov-Schwarz (NKS) algorithms for solving the large sparse nonlinear systems of equations arising from the finite element discretization of ...
Feng-Nan Hwang, Shang-Rong Cai, Yun-Long Shao, Jon...