Suchergebnisse - V-cycle multigrid algorithm

  1. 1

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

    ISSN: 0885-7474, 1573-7691, 1573-7691
    Veröffentlicht: New York Springer US 01.02.2018
    Veröffentlicht in 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 von Antonietti, P. F., Pennesi, G.

    ISSN: 0885-7474, 1573-7691
    Veröffentlicht: New York Springer US 01.01.2019
    Veröffentlicht in 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 von Chu, Hanyu, Song, Yongzhong, Ji, Haifeng, Cai, Ying

    ISSN: 0885-7474, 1573-7691
    Veröffentlicht: New York Springer US 01.01.2024
    Veröffentlicht in 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 von Antonietti, P F, Pennesi, G

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 29.09.2017
    Veröffentlicht in 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 von Al-Mahdawi, H.K., Sidikova, A. I, Alkattan, Hussein, Abotaleb, Mostafa, Kadi, Ammar, El-kenawy, El-Sayed M

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

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

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 05.06.2017
    Veröffentlicht in 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 von Bramble, J. H., Goldstein, C. I., Pasciak, J. E.

    ISSN: 1064-8275, 1095-7197
    Veröffentlicht: Philadelphia Society for Industrial and Applied Mathematics 01.05.1994
    Veröffentlicht in 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 von An, Bo, Bergadà, J.M., Sang, W.M.

    ISSN: 0898-1221, 1873-7668
    Veröffentlicht: Elsevier Ltd 01.04.2023
    Veröffentlicht in Computers & mathematics with applications (1987) (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 von Wang, Yin, Zhang, Jun

    ISSN: 0021-9991, 1090-2716
    Veröffentlicht: Kidlington Elsevier Inc 10.01.2009
    Veröffentlicht in 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 von Wu, Haijun, Chen, Zhiming

    ISSN: 1006-9283, 1862-2763
    Veröffentlicht: 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 von Huang, Xianyang, Yin, Changchun, Wang, Luyuan, Liu, Yunhe, Zhang, Bo, Ren, Xiuyan, Su, Yang, Li, Jun, Chen, Hui

    ISSN: 2072-4292, 2072-4292
    Veröffentlicht: Basel MDPI AG 01.01.2023
    Veröffentlicht in 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 von Gupta, Murli M., Kouatchou, Jules, Zhang, Jun

    ISSN: 0021-9991, 1090-2716
    Veröffentlicht: Elsevier Inc 01.04.1997
    Veröffentlicht in 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 von Gopalakrishnan, Jayadeep, Tan, Shuguang

    ISSN: 1070-5325, 1099-1506
    Veröffentlicht: Chichester, UK John Wiley & Sons, Ltd 01.09.2009
    Veröffentlicht in Numerical linear algebra with applications (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 von Fung, Frederick

    ISBN: 9798304954730
    Veröffentlicht: 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 von Bramble, James H., Pasciak, Joseph E.

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

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

    ISSN: 0749-159X, 1098-2426
    Veröffentlicht: 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 von Zhang, W., Zhang, C.H., Xi, G.

    ISSN: 0045-7930, 1879-0747
    Veröffentlicht: Kidlington Elsevier Ltd 2010
    Veröffentlicht in 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 von Kwak, Do Y.

    ISSN: 1064-8275, 1095-7197
    Veröffentlicht: Philadelphia Society for Industrial and Applied Mathematics 1999
    Veröffentlicht in SIAM journal on scientific computing (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 von Oliveira, F., Pinto, M.A.V., Marchi, C.H., Araki, L.K.

    ISSN: 0307-904X
    Veröffentlicht: Elsevier Inc 01.10.2012
    Veröffentlicht in 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 von Zhu, Yunrong

    ISSN: 1070-5325, 1099-1506
    Veröffentlicht: Oxford Wiley Subscription Services, Inc 01.01.2014
    Veröffentlicht in Numerical linear algebra with applications (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