arXiv Analytics

Sign in

arXiv:2208.02427 [math.NA]AbstractReferencesReviewsResources

A Comparison of SOR, ADI and Multigrid Methods for Solving Partial Differential Equations

Mohamed Mohsen Ahmed

Published 2022-08-04Version 1

This article presents several numerical techniques for solving Laplace equation. A numerical FORTRAN solver is developed to solve the 2D laplace equation. The numerical approaches implemented in the solver include Jacobi, Gauss-Siedel, Successive Over Relaxation, Alternating Direct Implicit and Multigrid methods. Detailed comparison between different numerical methods is presented and discussed

Categories: math.NA, cs.NA
Related articles: Most relevant | Search more
arXiv:2403.16352 [math.NA] (Published 2024-03-25)
A note on the convergence of multigrid methods for the Riesz-space equation and an application to image deblurring
arXiv:2203.05959 [math.NA] (Published 2022-03-11)
Symbol based convergence analysis in multigrid methods for saddle point problems
arXiv:2101.06434 [math.NA] (Published 2021-01-16)
A symbol based analysis for multigrid methods for Block-Circulant and Block-Toeplitz Systems

Links

Toolbox