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An efficient algebraic multigrid method for second order elliptic equations on polygonal domains
  • Ming Li
Ming Li
Honghe University
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Abstract

Based on a coarsening strategy of adjacency matrix, a new algebraic prolongation operator is developed for standard V-cycle multigrid method to accelerate the whole process. An efficient algebraic multigrid (EAMG) method is proposed for solving large-scale linear systems, arising from finite element (FE) discretization of second order elliptic boundary value problems. Numerical experiments on polygonal domains are conducted to demonstrate the EAMG computation is more efficient than standard method.

Peer review status:UNDER REVIEW

10 May 2021Submitted to Mathematical Methods in the Applied Sciences
11 May 2021Assigned to Editor
11 May 2021Submission Checks Completed
14 May 2021Reviewer(s) Assigned