Title | ||
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Simple efficient solvers for certain ill-conditioned systems of linear equations, including H(div) problems. |
Abstract | ||
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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 |
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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 Ku | 1 | 14 | 6.30 |
Lothar Reichel | 2 | 453 | 95.02 |