Výsledky vyhledávání - V-cycle multigrid algorithm

  1. 1

    Uniform Convergence of V-cycle Multigrid Algorithms for Two-Dimensional Fractional Feynman–Kac Equation Autor Chen, Minghua, Deng, Weihua, Serra-Capizzano, Stefano

    ISSN: 0885-7474, 1573-7691, 1573-7691
    Vydáno: New York Springer US 01.02.2018
    Vydáno v Journal of scientific computing (01.02.2018)
    “…), it is known that the V-cycle multigrid method (MGM) can significantly lower the computational cost…”
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    Journal Article
  2. 2

    V-cycle Multigrid Algorithms for Discontinuous Galerkin Methods on Non-nested Polytopic Meshes Autor Antonietti, P. F., Pennesi, G.

    ISSN: 0885-7474, 1573-7691
    Vydáno: New York Springer US 01.01.2019
    Vydáno v Journal of scientific computing (01.01.2019)
    “…In this paper we analyze the convergence properties of V -cycle multigrid algorithms for the numerical solution of the linear system of equations stemming from discontinuous Galerkin discretization…”
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    Journal Article
  3. 3

    Multigrid Algorithm for Immersed Finite Element Discretizations of Elliptic Interface Problems Autor Chu, Hanyu, Song, Yongzhong, Ji, Haifeng, Cai, Ying

    ISSN: 0885-7474, 1573-7691
    Vydáno: New York Springer US 01.01.2024
    Vydáno v Journal of scientific computing (01.01.2024)
    “… We prove that the convergence of W-cycle multigrid algorithm and the condition number of the variable V-cycle as preconditioner are optimal by verifying the regularity-approximation assumption…”
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    Journal Article
  4. 4

    V-cycle multigrid algorithms for discontinuous Galerkin methods on non-nested polytopic meshes Autor Antonietti, P F, Pennesi, G

    ISSN: 2331-8422
    Vydáno: Ithaca Cornell University Library, arXiv.org 29.09.2017
    Vydáno v arXiv.org (29.09.2017)
    “…In this paper we analyse the convergence properties of V-cycle multigrid algorithms for the numerical solution of the linear system of equations arising from discontinuous Galerkin discretization…”
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    Paper
  5. 5

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

    ISSN: 2215-0161, 2215-0161
    Vydáno: Netherlands Elsevier B.V 01.01.2022
    Vydáno v 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
  6. 6

    Uniform convergence of V-cycle multigrid algorithms for two-dimensional fractional Feynman-Kac equation Autor Chen, Minghua, Deng, Weihua, Serra-Capizzano, Stefano

    ISSN: 2331-8422
    Vydáno: Ithaca Cornell University Library, arXiv.org 05.06.2017
    Vydáno v arXiv.org (05.06.2017)
    “…In this paper we derive new uniform convergence estimates for the V-cycle MGM applied to symmetric positive definite Toeplitz block tridiagonal matrices, by also discussing few connections with previous results…”
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    Paper
  7. 7

    Analysis of V-Cycle Multigrid Algorithms for Forms Defined by Numerical Quadrature Autor Bramble, J. H., Goldstein, C. I., Pasciak, J. E.

    ISSN: 1064-8275, 1095-7197
    Vydáno: Philadelphia Society for Industrial and Applied Mathematics 01.05.1994
    Vydáno v SIAM journal on scientific computing (01.05.1994)
    “…The authors describe and analyze certain V-cycle multigrid algorithms with forms defined by numerical quadrature applied to the approximation of symmetric second-order elliptic boundary value problems…”
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    Journal Article
  8. 8

    A simplified new multigrid algorithm of lattice Boltzmann method for steady states Autor An, Bo, Bergadà, J.M., Sang, W.M.

    ISSN: 0898-1221, 1873-7668
    Vydáno: Elsevier Ltd 01.04.2023
    “… Based on the popular V-cycle multigrid algorithm, a simplified multigrid algorithm is presented and validated through the simulations of the classic lid-driven cavity flow for steady states…”
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    Journal Article
  9. 9

    Sixth order compact scheme combined with multigrid method and extrapolation technique for 2D poisson equation Autor Wang, Yin, Zhang, Jun

    ISSN: 0021-9991, 1090-2716
    Vydáno: Kidlington Elsevier Inc 10.01.2009
    Vydáno v Journal of computational physics (10.01.2009)
    “…, Richardson extrapolation technique, and an operator based interpolation scheme. We use multigrid V-Cycle procedure to build our multiscale multigrid algorithm, which is similar to the full multigrid method (FMG…”
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    Journal Article
  10. 10

    Uniform convergence of multigrid V-cycle on adaptively refined finite element meshes for second order elliptic problems Autor Wu, Haijun, Chen, Zhiming

    ISSN: 1006-9283, 1862-2763
    Vydáno: Department of Mathematics, Nanjing University, Nanjing 210093, China%Institute of Computational Mathematics, Chinese Academy of Sciences, Beijing 100080, China 01.10.2006
    “…In this paper we prove the uniform convergence of the standard multigrid V-cycle algorithm with the Gauss-Seidel relaxation performed only on the new nodes and their 'immediate' neighbors for discrete…”
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    Journal Article
  11. 11

    A Geometric Multigrid Method for 3D Magnetotelluric Forward Modeling Using Finite-Element Method Autor Huang, Xianyang, Yin, Changchun, Wang, Luyuan, Liu, Yunhe, Zhang, Bo, Ren, Xiuyan, Su, Yang, Li, Jun, Chen, Hui

    ISSN: 2072-4292, 2072-4292
    Vydáno: Basel MDPI AG 01.01.2023
    Vydáno v Remote sensing (Basel, Switzerland) (01.01.2023)
    “… Then, we develop a V-cycle geometric multigrid algorithm to solve the linear equations system. To demonstrate the efficiency and effectiveness of our geometric…”
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    Journal Article
  12. 12

    Comparison of Second- and Fourth-Order Discretizations for Multigrid Poisson Solvers Autor Gupta, Murli M., Kouatchou, Jules, Zhang, Jun

    ISSN: 0021-9991, 1090-2716
    Vydáno: Elsevier Inc 01.04.1997
    Vydáno v Journal of computational physics (01.04.1997)
    “…We combine a compact high-order difference approximation with multigrid V-cycle algorithm to solve the two-dimensional Poisson equation with Dirichlet boundary conditions…”
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    Journal Article
  13. 13

    A convergent multigrid cycle for the hybridized mixed method Autor Gopalakrishnan, Jayadeep, Tan, Shuguang

    ISSN: 1070-5325, 1099-1506
    Vydáno: Chichester, UK John Wiley & Sons, Ltd 01.09.2009
    “…We consider the application of a variable Vcycle multigrid algorithm for the hybridized mixed method for second…”
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    Journal Article
  14. 14

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

    ISBN: 9798304954730
    Vydáno: 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
  15. 15

    Uniform convergence estimates for multigrid $V$-cycle algorithms with less than full elliptic regularity Autor Bramble, James H., Pasciak, Joseph E.

    ISBN: 9780821851586, 0821851586
    ISSN: 0271-4132, 1098-3627
    Vydáno: Providence, Rhode Island American Mathematical Society 1994
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    Kapitola
  16. 16

    Multigrid algorithm for the cell-centered finite difference method II: discontinuous coefficient case Autor Kwak, Do Y., Lee, Jun S.

    ISSN: 0749-159X, 1098-2426
    Vydáno: Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.09.2004
    “…We consider a multigrid algorithm for the cell centered finite difference scheme with a prolongation operator depending on the diffusion coefficient…”
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    Journal Article
  17. 17

    An explicit Chebyshev pseudospectral multigrid method for incompressible Navier–Stokes equations Autor Zhang, W., Zhang, C.H., Xi, G.

    ISSN: 0045-7930, 1879-0747
    Vydáno: Kidlington Elsevier Ltd 2010
    Vydáno v Computers & fluids (2010)
    “…) scheme and implement it through V-cycle multigrid and full multigrid (FMG) strategies. Four iterative methods are designed including the single grid method…”
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    Journal Article
  18. 18

    V -Cycle Multigrid for Cell-Centered Finite Differences Autor Kwak, Do Y.

    ISSN: 1064-8275, 1095-7197
    Vydáno: Philadelphia Society for Industrial and Applied Mathematics 1999
    “…We introduce and analyze a V-cycle multigrid algorithm for cell-centered finite difference methods applied to second-order elliptic boundary value problems…”
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    Journal Article
  19. 19

    Optimized partial semicoarsening multigrid algorithm for heat diffusion problems and anisotropic grids Autor Oliveira, F., Pinto, M.A.V., Marchi, C.H., Araki, L.K.

    ISSN: 0307-904X
    Vydáno: Elsevier Inc 01.10.2012
    Vydáno v Applied mathematical modelling (01.10.2012)
    “… The systems of equations are solved with the lexicographic and red–black Gauss–Seidel methods associated to the geometric multigrid with correction scheme and V-cycle…”
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    Journal Article
  20. 20

    Analysis of a multigrid preconditioner for Crouzeix-Raviart discretization of elliptic partial differential equation with jumpcoefficients Autor Zhu, Yunrong

    ISSN: 1070-5325, 1099-1506
    Vydáno: Oxford Wiley Subscription Services, Inc 01.01.2014
    “… We showed that the convergence rates of the (multiplicative) two-grid and multigrid V-cycle algorithms will deteriorate rapidly because of large jumps in coefficient…”
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    Journal Article