Title
Simple efficient solvers for certain ill-conditioned systems of linear equations, including H(div) problems.
Abstract
Simple, accurate, and efficient iterative methods for the solution of a nearly singular variational problem are described. The systems considered arise, e.g., when seeking to determine the flux of second order elliptic partial differential equations. Each (outer) iteration uses a robust and efficient solver, which may be a direct or iterative method, and only a few (outer) iterations are required to obtain an approximate solution. Reduced rank extrapolation may be applied to speed up the convergence.
Year
DOI
Venue
2018
10.1016/j.cam.2018.05.002
Journal of Computational and Applied Mathematics
Keywords
Field
DocType
Finite element method,Nearly singular system,Variational problem
Convergence (routing),System of linear equations,Iterative method,Mathematical analysis,Extrapolation,Flux,Solver,Elliptic partial differential equation,Mathematics,Speedup
Journal
Volume
ISSN
Citations 
343
0377-0427
0
PageRank 
References 
Authors
0.34
5
2
Name
Order
Citations
PageRank
JaEun Ku1146.30
Lothar Reichel245395.02