Abstract
In this paper we introduce an Average Additive Schwarz method with spectrally enriched coarse grids for a standard Finite Element discretization of a second order elliptic problem with discontinuous coefficients, where the discontinuities are inside subdomains and across subdomain boundaries. The proposed methods depend linearly on the mesh parameters H∕h, i.e., depending on the distribution of the coefficient in the model problem, the parameters describing the convergence of the PCG method used to solve the preconditioned system depends linearly or on the mesh parameters. In case when the coarse space is large enough the convergence of the PCG method is independent of jumps in the coefficient.
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.
