2020/05/18 by Steven Dargaville, S. Dargaville, A.G. Buchan +12 · 2 citations
Computer Science · Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Algorithm #Applied mathematics #Computational Geometry and Mesh Generation #Computational science #Computer science #Economies of agglomeration #Element (criminal law) #Engineering #FOS: Mathematics #Finite element method #Geometry #Mathematical analysis #Mathematical optimization #Mathematics #Multigrid method #Numerical Analysis (math.NA) #Parallel Computing and Optimization Techniques #Partial differential equation #Physics #Polygon mesh #Tetrahedron #cs.NA #math.NA
paper · pdf · doi:10.48550/arxiv.2005.09104
arxiv created 2020/05/18 · openalex publication_date 2020/05/18 · arxiv updated 2020/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
This paper compares the performance of seven different element agglomeration algorithms on unstructured triangular/tetrahedral meshes when used as part of a geometric multigrid. Five of these algorithms come from the literature on AMGe multigrid and mesh partitioning methods. The resulting multigrid schemes are tested matrix-free on two problems in 2D and 3D taken from radiation transport applications; one of which is in the diffusion limit. In two dimensions all coarsening algorithms result in multigrid methods which perform similarly, but in three dimensions aggressive element agglomeration performed by METIS produces the shortest runtimes and multigrid setup times.