Abstract
This paper deals with the stability analysis of a new class of iterative methods for elliptic problems. These schemes are based on a general splitting method, which decomposes a multidimensional parabolic problem into a system of 1D implicit problems. The solution of the given linear system of equations is approximated by p-component vector of approximations. Each splitted operator is applied to only one specific component of this vector. We use energy and spectral stability analysis and investigate the convergence rate of two iterative schemes. Finally, some results of numerical experiments are presented. The dependence of the convergence rate on the smoothness of the solution is investigated.
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.
