Search Results - Parallel Multigrid Method

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  1. 1

    Optimization of communication-computation overlapping in parallel multigrid methods by process/thread allocation: Parallel multigrid method by Nakajima, Kengo

    ISSN: 0916-7005, 1868-937X
    Published: Tokyo Springer Japan 01.09.2025
    “… OpenMP’s dynamic loop scheduling. Previous work applied CC-Overlapping to the IC(0) smoother in the parallel Conjugate Gradient method preconditioned by Multigrid (MGCG), achieving a 40…”
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    Journal Article
  2. 2

    A parallel multigrid method of the Cahn–Hilliard equation by Shin, Jaemin, Kim, Sungki, Lee, Dongsun, Kim, Junseok

    ISSN: 0927-0256, 1879-0801
    Published: Amsterdam Elsevier B.V 01.04.2013
    Published in Computational materials science (01.04.2013)
    “… The resulting discrete equations are solved using a parallel multigrid method. This parallel scheme facilitates the solution of large-scale problems…”
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    Journal Article
  3. 3

    Scalable implementation of the parallel multigrid method on massively parallel computers by Kang, K.S.

    ISSN: 0898-1221, 1873-7668
    Published: Elsevier Ltd 01.12.2015
    “…We consider a scalable implementation of multigrid methods for elliptic problems for fusion simulations on current and future high performance computer (HPC) architectures…”
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    Journal Article
  4. 4

    Parallel multigrid method for solving inverse problems by Al-Mahdawi, H.K., Sidikova, A. I, Alkattan, Hussein, Abotaleb, Mostafa, Kadi, Ammar, El-kenawy, El-Sayed M

    ISSN: 2215-0161, 2215-0161
    Published: Netherlands Elsevier B.V 01.01.2022
    Published in MethodsX (01.01.2022)
    “… A new parallel algorithm for the multigrid process has been developed. The proposed algorithm is based on a V-cycle mixed with the two-grid method…”
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    Journal Article
  5. 5

    Local and parallel multigrid method for semilinear elliptic equations by Xu, Fei, Huang, Qiumei, Jiang, Kun, Ma, Hongkun

    ISSN: 0168-9274, 1873-5460
    Published: Elsevier B.V 01.04.2021
    Published in Applied numerical mathematics (01.04.2021)
    “…This paper presents a new type of local and parallel multigrid method to solve semilinear elliptic equations…”
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    Journal Article
  6. 6

    Local and parallel multigrid method for semilinear Neumann problem with nonlinear boundary condition by Xu, Fei, Wang, Bingyi, Xie, Manting

    ISSN: 1017-1398, 1572-9265
    Published: New York Springer US 01.05.2024
    Published in Numerical algorithms (01.05.2024)
    “…A novel local and parallel multigrid method is proposed in this study for solving the semilinear Neumann problem with nonlinear boundary condition…”
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    Journal Article
  7. 7

    Local and Parallel Multigrid Method for Nonlinear Eigenvalue Problems by Xu, Fei, Huang, Qiumei

    ISSN: 0885-7474, 1573-7691
    Published: New York Springer US 01.01.2020
    Published in Journal of scientific computing (01.01.2020)
    “… As no nonlinear eigenvalue problem is being solved directly on the fine spaces, which is time-consuming, this new type of local and parallel multigrid method evidently improves the efficiency…”
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    Journal Article
  8. 8

    A parallel geometric multigrid method for adaptive topology optimization by Herrero-Pérez, David, Picó-Vicente, Sebastián Ginés

    ISSN: 1615-147X, 1615-1488
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2023
    “…This work presents an efficient parallel geometric multigrid (GMG) implementation for preconditioning Krylov subspace methods solving differential equations using non-conforming meshes for discretization…”
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    Journal Article
  9. 9

    Optimization of communication-computation overlapping in parallel multigrid methods by process/thread allocation by Nakajima, Kengo

    ISSN: 0916-7005, 1868-937X
    Published: Heidelberg Springer Nature B.V 01.09.2025
    “… OpenMP’s dynamic loop scheduling. Previous work applied CC-Overlapping to the IC(0) smoother in the parallel Conjugate Gradient method preconditioned by Multigrid (MGCG), achieving a 40…”
    Get full text
    Journal Article
  10. 10

    Investigation on an optimal aggregation level for a parallel meshless multigrid method based on domain decomposition method by Ha, Sang Truong, Park, Hyeong Cheol, Yoon, Han Young, Choi, Hyoung Gwon

    ISSN: 0168-874X
    Published: Elsevier B.V 01.09.2025
    Published in Finite elements in analysis and design (01.09.2025)
    “…We developed three parallel algorithms for a meshless geometric multigrid (GMG) method proposed for the finite element discretization of elliptic partial differential equation…”
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    Journal Article
  11. 11

    Optimization of serial and parallel communications for parallel geometric multigrid method by Nakajima, Kengo

    ISSN: 1521-9097
    Published: IEEE 01.12.2014
    “…The parallel multigrid method is expected to play an important role in large-scale scientific computing on post-peta/exa-scale supercomputer systems, and it also includes serial and parallel…”
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    Conference Proceeding
  12. 12

    Parallel multigrid method for solving elliptic equations by Zhukov, V. T., Novikova, N. D., Feodoritova, O. B.

    ISSN: 2070-0482, 2070-0490
    Published: Moscow Pleiades Publishing 01.07.2014
    “…The proposed algorithm represents an efficient parallel implementation of the Fedorenko multigrid method and is intended for solving three-dimensional elliptic equations…”
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    Journal Article
  13. 13

    3D Parallel Multigrid Methods for Real-Time Fluid Simulation by Wan, Feifei, Yin, Yong, Zhang, Suiyu

    ISSN: 2092-6731, 2092-6731
    Published: Seoul 3D Display Research Center 01.03.2018
    Published in 3D research (01.03.2018)
    “…The multigrid method is widely used in fluid simulation because of its strong convergence…”
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    Journal Article
  14. 14

    A Massively Parallel Multigrid Method for Finite Elements by Bergen, B., Gradl, T., Hulsemann, F., Rude, U.

    ISSN: 1521-9615, 1558-366X
    Published: New York IEEE 01.11.2006
    Published in Computing in science & engineering (01.11.2006)
    “…The hierarchical hybrid grid framework supports the parallel implementation of multigrid solvers for finite element problems…”
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    Journal Article
  15. 15

    A new parallel cascadic multigrid method by Li, Chen-liang

    ISSN: 0096-3003, 1873-5649
    Published: Elsevier Inc 15.06.2013
    Published in Applied mathematics and computation (15.06.2013)
    “…In this paper, a new parallel cascadic multigrid method is studied with domain decomposition technique and extrapolation technique…”
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    Journal Article
  16. 16

    A Parallel Geometric Multigrid Method for Finite Elements on Octree Meshes by Sampath, Rahul S., Biros, George

    ISSN: 1064-8275, 1095-7197
    Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2010
    Published in SIAM journal on scientific computing (01.01.2010)
    “…In this article, the authors present a parallel geometric multigrid algorithm for solving variable-coefficient elliptic partial differential equations on the unit box using highly nonuniform, octree…”
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    Journal Article
  17. 17

    Designing Resilient Parallel Multigrid Methods on Unstructured Adaptive Meshes by Fung, Frederick

    ISBN: 9798304954730
    Published: ProQuest Dissertations & Theses 01.01.2024
    “…In this thesis, we develop a class of fault-tolerant geometric multigrid method to address the loss of numerical data on faulty processors…”
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    Dissertation
  18. 18

    A parallel multigrid method for constrained minimization problems and its application to friction, contact, and obstacle problems by Krause, Rolf, Rigazzi, Alessandro, Steiner, Johannes

    ISSN: 1432-9360, 1433-0369
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2016
    Published in Computing and visualization in science (01.02.2016)
    “…The parallel solution of constrained minimization problems requires special care to be taken with respect to the information transfer between the different subproblems…”
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    Journal Article
  19. 19

    Correction to: 3D Parallel Multigrid Methods for Real-Time Fluid Simulation by Wan, Feifei, Yin, Yong, Zhang, Suiyun

    ISSN: 2092-6731, 2092-6731
    Published: Seoul 3D Display Research Center 01.06.2018
    Published in 3D research (01.06.2018)
    “…Unfortunately, the co-author’s given name has been published incorrectly in the original online publication. The correct given name should be: Suiyun…”
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    Journal Article
  20. 20

    Communication-Computation Overlapping for Parallel Multigrid Methods by Nakajima, Kengo

    Published: IEEE 27.05.2024
    “… In parallel finite element methods (FEM) and finite volume methods (FVM), halo communication and computation overlapping (CC-Overlapping…”
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    Conference Proceeding