• MgNet

  • Referenced in 15 articles [sw35862]
  • MgNet: A unified framework of multigrid and convolutional neural network. We develop a unified model ... neural networks (CNN) for image classification and multigrid (MG) methods for solving discretized partial differential...
  • MueLu

  • Referenced in 20 articles [sw20457]
  • MueLu is an extensible multigrid library that is part of the TRILINOS project...
  • XBraid

  • Referenced in 12 articles [sw20698]
  • XBraid: Parallel Time Integration with Multigrid. Scientists at LLNL have developed an open source ... scalable parallel-in-time approach by applying multigrid to the time dimension. It is designed ... spatial coarsening options. The full approximation scheme multigrid approach is used to accommodate nonlinear problems...
  • MGOO

  • Referenced in 19 articles [sw01204]
  • Multigrid software for the solution of ellptic problems on rectangular domains: MGOO (release...
  • CPR-AMG

  • Referenced in 11 articles [sw17621]
  • Algebraic Multigrid Preconditioners for Multiphase Flow in Porous Media. Multiphase flow is a critical process ... performance of several preconditioners based on algebraic multigrid (AMG) for solving the linearized problem, including ... version of constrained pressure residual multigrid (CPR-AMG) preconditioning, and a new preconditioner derived using...
  • FaCSI

  • Referenced in 18 articles [sw18530]
  • based on domain decomposition or the multigrid method. We measure the parallel performances of FaCSI...
  • LASPack

  • Referenced in 12 articles [sw09678]
  • BiCGStab) and multilevel methods such as multigrid and conjugate gradient method preconditioned by multigrid...
  • MrDIRECT

  • Referenced in 12 articles [sw12380]
  • phenomenon can be eliminated efficiently by the multigrid algorithm in which the PDE solver ... discretization. In this paper, we adapt the multigrid approach to a robust version of DIRECT...
  • DibaP

  • Referenced in 16 articles [sw08343]
  • balancing for parallel FEM simulations by algebraic multigrid, in: Proceedings of the 20th IEEE International...
  • AMGCL

  • Referenced in 15 articles [sw29215]
  • solving large sparse linear systems with algebraic multigrid (AMG) method...
  • pTatin3D

  • Referenced in 9 articles [sw27642]
  • tracking material composition, combined with a multigrid finite-element method to solve heterogeneous, incompressible visco ... performance and algorithmic tradeoffs of pTatin3D’s multigrid preconditioner. Our matrix-free geometric multigrid preconditioner...
  • PCPATCH

  • Referenced in 9 articles [sw41124]
  • PCPATCH. Software for the topological construction of multigrid relaxation methods. Effective relaxation methods are necessary ... good multigrid convergence. For many equations, standard Jacobi and Gauß-Seidel are inadequate, and more ... topological construction of space decompositions for multigrid relaxation methods. Space decompositions are specified by collecting...
  • C-AMS

  • Referenced in 14 articles [sw18051]
  • compared against an industrial-grade Algebraic MultiGrid (AMG) solver. Results of this comparison illustrate that...
  • Dendro

  • Referenced in 7 articles [sw29068]
  • Dendro: Parallel algorithms for multigrid and AMR methods on 2:1 balanced octrees. In this ... module, a meshing module, a geometric multiplicative multigrid module, and a module for adaptive mesh ... refinement (AMR). Here, we focus on the multigrid and AMR modules. The key features ... bottom-up algorithm for constructing the coarser multigrid levels. The input is an arbitrary...
  • FE-gMG

  • Referenced in 8 articles [sw10365]
  • GPUs: unstructured grid finite element geometric multigrid solvers with strong smoothers based on sparse approximate ... solver, a finite element geometric multigrid approach for problems relying on unstructured grids. We augment ... outperform a simple (multicore-) CPU-based multigrid by a total factor of over...
  • PHAML

  • Referenced in 12 articles [sw05764]
  • newest node bisection of triangles, and multigrid. All aspects of the method are based...
  • MIKA

  • Referenced in 6 articles [sw08891]
  • MIKA: Multigrid-based program package for electronic structure calculations. A general real-space multigrid-based ... program package MIKA (Multigrid Instead of the K-spAce) for the self-consistent solution ... important part of the method is the multigrid solver for the Schrödinger equation. Our choice ... Rayleigh quotient multigrid method (RQMG), which applies directly to the minimization of the Rayleigh quotient...
  • ECOSMOG

  • Referenced in 11 articles [sw16205]
  • parallelisation and (2) the usage of the multigrid relaxation to solve the extra equation...
  • ParFlow

  • Referenced in 10 articles [sw19044]
  • most advanced numerical solvers and multigrid preconditioners for massively parallel computer environments that are available...
  • BootCMatch

  • Referenced in 10 articles [sw27182]
  • describe some extensions of an adaptive Algebraic Multigrid (AMG) method of the form previously proposed...