2021/03/18 by Jonathan Joseph Hu, Hu, Jonathan J., Christopher Siefert +4
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Advanced Optimization Algorithms Research #Computational Fluid Dynamics and Aerodynamics #Enhanced Oil Recovery Techniques #FOS: Mathematics #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.2103.10476
openalex publication_date 2021/03/18 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
Four adaptations of the smoothed aggregation algebraic multigrid (SA-AMG)\nmethod are proposed with an eye towards improving the convergence and\nrobustness of the solver in situations when the discretization matrix contains\nmany weak connections. These weak connections can cause higher than expected\nlevels of fill-in within the coarse discretization matrices and can also give\nrise to sub-optimal smoothing within the prolongator smoothing phase. These\nsmoothing drawbacks are due to the relatively small size of some diagonal\nentries within the filtered matrix that one obtains after dropping the weak\nconnections. The new algorithms consider modifications to the Jacobi-like step\nthat defines the prolongator smoother, modifications to the filtered matrix,\nand also direct modifications to the resulting grid transfer operators.\nNumerical results are given illustrating the potential benefits of the proposed\nadaptations.\n