Parallel implementation of 3D global MHD simulations for Earth's magnetosphere
Computers & Mathematics with Applications
Journal of Computational Physics
Convergence analysis of multigrid methods with residual scaling techniques
Journal of Computational and Applied Mathematics
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In this paper, efficient algorithms for the algebraic multigrid (AMG) method are advanced, and AMG methods are proposed for improving the convergence rate. A new convergence theorem of AMG is given, and a complete theoretical study of new algorithms is subsequently presented. Various numerical results demonstrate the efficiency of the new approaches.