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 additive Schwarz preconditioner and a global linear coarse preconditioner. Our parallel numerical results based on a lid-driven cavity incompressible flow problem show that the new two-level ASPIN is nearly scalable with respect to the number of processors if the coarse mesh size is fine enough.

• Type: Conference
• Year: 2004
• Where: PARA
• Authors: Feng-Nan Hwang, Xiao-Chuan Cai
• Keywords: Additive Schwarz Preconditioner, Applied Computing, Nonlinear Additive Schwarz, PARA 2004, Two-level Nonlinear Preconditioner