Abstract
It is known that the Newton Krylov algorithm may not always converge if the initial assumption or initialization is far from the exact solution. We present a technique for initializing Newton Krylov solver for nonlinear elliptic problems. In this technique, initial guess is generated by solving linearised equation corresponding to the nonlinear equation. Here, nonlinear part is replaced by the equivalent linear part. Effectiveness of the technique is presented through numerical examples.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
