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An efficient multiscale-like multigrid computation for 2D convection-diffusion equations on nonuniform grids
  • Ming Li,
  • Zhoushun Zheng
Ming Li
Honghe University
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Zhoushun Zheng
Central South University
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Abstract

An efficient multiscale-like multigrid (MSLMG) method is presented to solve the two-dimensional (2D) convection-diffusion equations on nonuniform grids, based on the transformation-free high order compact (HOC) difference scheme. By providing appropriate initial solutions, the discretization systems on the two finest grids are solved to obtain the MSLMG solutions with discretization-level accuracy by performing few multigrid cycles, which implemented with alternating line Gauss-Seidel smoother, interpolation and restriction on nonuniform grids. Numerical experiments of two boundary layer and local singularity problems are conducted to demonstrate the proposed algorithm is efficient and effective to decrease the computational cost.

Peer review status:ACCEPTED

20 Apr 2020Submitted to Mathematical Methods in the Applied Sciences
25 Apr 2020Submission Checks Completed
25 Apr 2020Assigned to Editor
01 May 2020Reviewer(s) Assigned
29 Jul 2020Review(s) Completed, Editorial Evaluation Pending
29 Jul 2020Editorial Decision: Revise Minor
05 Sep 20201st Revision Received
05 Sep 2020Submission Checks Completed
05 Sep 2020Assigned to Editor
05 Sep 2020Editorial Decision: Accept