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Jacobian-free Newton–Krylov methods: a survey of approaches and applications

✍ Scribed by D.A. Knoll; D.E. Keyes


Book ID
108163846
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
337 KB
Volume
193
Category
Article
ISSN
0021-9991

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Improving the numerical convergence of v
✍ Jean-François Lemieux; Bruno Tremblay; Jan Sedláček; Paul Tupper; Stephen Thomas 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 834 KB

We have implemented the Jacobian-free Newton-Krylov (JFNK) method to solve the sea ice momentum equation with a viscous-plastic (VP) formulation. The JFNK method has many advantages: the system matrix (the Jacobian) does not need to be formed and stored, the method is parallelizable and the converge