Abstract
The algebraic multigrid (AMG) method is an algebraic multilevel solver for linear systems of equations, which stem from the discretization of partial differential equations. This paper develops an efficient AMG solver for singular linear systems of equations arising from electromagnetic finite element (FE) analyses using edge elements. The presented solver can solve singular equations using a technique similar to the shifted incomplete Cholesky conjugate gradient method. Shifted global coefficient matrices are utilized to construct the AMG preconditioner. The numerical results show that the proposed AMG conjugate gradient (AMGCG) solver can converge with a wide range of "shift".
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.
