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PARA
2004
Springer
13 years 10 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
NA
2006
75views more  NA 2006»
13 years 4 months ago
Least-squares spectral collocation with the overlapping Schwarz method for the incompressible Navier-Stokes equations
A least-squares spectral collocation scheme is combined with the overlapping Schwarz method. The methods are succesfully applied to the incompressible Navier-Stokes equations. The...
Wilhelm Heinrichs
SIAMSC
2008
140views more  SIAMSC 2008»
13 years 4 months ago
Newton-GMRES Preconditioning for Discontinuous Galerkin Discretizations of the Navier--Stokes Equations
We study preconditioners for the iterative solution of the linear systems arising in the implicit time integration of the compressible Navier-Stokes equations. The spatial discreti...
Per-Olof Persson, Jaime Peraire
VECPAR
2004
Springer
13 years 10 months ago
Domain Decomposition Methods for PDE Constrained Optimization Problems
Abstract. Optimization problems constrained by nonlinear partial differential equations have been the focus of intense research in scientific computing lately. Current methods for...
Ernesto E. Prudencio, Richard H. Byrd, Xiao-Chuan ...
SIAMSC
2011
151views more  SIAMSC 2011»
12 years 11 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