On backtracking failure in newton-GMRES methods with a demonstration for the navier-stokes equations
By R. Tuminaro, Homer F. Walker, John N. Shadid. 2002
55 citations recorded by the source corpus.
Subfields: Computational Mechanics, Computational Theory and Mathematics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/65b4cbe9cce722b425099e6f998bbbab26d02b88
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- Abbas Firoozabadi
- David E. Keyes
- Dana A. Knoll
- J. Monteagudo
- H. Hoteit
- Jisheng Kou
- Shuyu Sun
- Ali Zidane
In Computational Theory and Mathematics
- David E. Keyes
- Abbas Firoozabadi
- Dana A. Knoll
- J. Monteagudo
- W. Abbett
- Randall J. LeVeque
- Fotis Sotiropoulos
- Fred L. Ogden
In Numerical Analysis
- David E. Keyes
- Abbas Firoozabadi
- Dana A. Knoll
- J. Monteagudo
- W. Abbett
- Randall J. LeVeque
- Jisheng Kou
- Shuyu Sun
Citations in the corpus
- Jacobian-free Newton-Krylov methods: a survey of approaches and applications (2004, background): “The work of Shadid and co-workers [164,176] is not JFNK, but NK.”
- Comparison of fully implicit and IMPES formulations for simulation of water injection in fractured and unfractured media (2007, methodology): “For example, for the line search backtracking method employed in the Newton solvers, it has been reported [18] that the angle between the steepest descent direction and the Newton direction is an indicator of the expected convergence of the method—the closer to the orthogonality condition, the more ”