Suchergebnisse - nested multigrid algorithm

  1. 1

    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
  2. 2

    Towards robust, fast solutions of elliptic equations on complex domains through hybrid high‐order discretizations and non‐nested multigrid methods von Di Pietro, Daniele A., Hülsemann, Frank, Matalon, Pierre, Mycek, Paul, Rüde, Ulrich, Ruiz, Daniel

    ISSN: 0029-5981, 1097-0207
    Veröffentlicht: Hoboken, USA John Wiley & Sons, Inc 30.11.2021
    “… To address this problem, we propose in this work a geometric multigrid algorithm for unstructured non‐nested meshes. The non …”
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    Journal Article
  3. 3

    Multigrid preconditioners for the hybridised discontinuous Galerkin discretisation of the shallow water equations von Betteridge, Jack, Gibson, Thomas H., Graham, Ivan G., Müller, Eike H.

    ISSN: 0021-9991, 1090-2716
    Veröffentlicht: Cambridge Elsevier Inc 01.02.2021
    Veröffentlicht in Journal of computational physics (01.02.2021)
    “… Numerical climate- and weather-prediction models require the fast solution of the equations of fluid dynamics. Discontinuous Galerkin (DG) discretisations have …”
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    Journal Article
  4. 4

    The Multigrid Method for the Combined Hybrid Element of Linear Elasticity Problem von Wang, Huiling, Nie, Yufeng

    ISSN: 1024-123X, 1563-5147
    Veröffentlicht: New York Hindawi 21.06.2022
    Veröffentlicht in Mathematical problems in engineering (21.06.2022)
    “… In this paper, we develop a non-nested multigrid algorithm for combined hybrid quadrilateral or hexahedron elements of linear elasticity problem …”
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    Journal Article
  5. 5

    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 …”
    Volltext
    Paper
  6. 6

    Hybridised multigrid preconditioners for a compatible finite‐element dynamical core von Betteridge, Jack D., Cotter, Colin J., Gibson, Thomas H., Griffith, Matthew J., Melvin, Thomas, Müller, Eike H.

    ISSN: 0035-9009, 1477-870X
    Veröffentlicht: Chichester, UK John Wiley & Sons, Ltd 01.07.2023
    “… , which has a similar structure to the pressure Schur complement in traditional approaches. We describe how the hybridised sparse system can be preconditioned with a non‐nested two …”
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    Journal Article
  7. 7

    Towards robust, fast solutions of elliptic equations on complex domains through HHO discretizations and non-nested multigrid methods von Di Pietro, Daniele Antonio, Hülsemann, Frank, Matalon, Pierre, Mycek, Paul, Rüde, Ulrich, Ruiz, Daniel

    ISSN: 0029-5981, 1097-0207
    Veröffentlicht: Wiley 2021
    “… To address this problem, we propose in this work a geometric multigrid algorithm for unstructured non-nested meshes …”
    Volltext
    Journal Article
  8. 8

    Full-FAS multigrid grid generation algorithms von Spitaleri, R.M.

    ISSN: 0168-9274, 1873-5460
    Veröffentlicht: Elsevier B.V 2000
    Veröffentlicht in Applied numerical mathematics (2000)
    “… In this paper we present a Full-FAS multigrid algorithm for the generation of curvilinear coordinate systems on physical domains …”
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    Journal Article
  9. 9

    Nested multigrid vector and scalar potential finite element method for fast computation of two-dimensional electromagnetic scattering von Yu Zhu, Cangellaris, A.C.

    ISSN: 0018-926X, 1558-2221
    Veröffentlicht: New York IEEE 01.12.2002
    Veröffentlicht in IEEE transactions on antennas and propagation (01.12.2002)
    “… The conjugate gradient method is used to solve the resultant finite-element matrix for the finest mesh, while the nested multigrid vector and scalar potential algorithm acts as the preconditioner …”
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    Journal Article
  10. 10

    Multigrid preconditioned conjugate-gradient solver for mixed finite-element method von Wilson, John David, Naff, Richard L.

    ISSN: 1420-0597, 1573-1499
    Veröffentlicht: Dordrecht Springer Netherlands 01.03.2010
    Veröffentlicht in Computational geosciences (01.03.2010)
    “… difference scheme for solving second-order elliptic problems with variable coefficients. For the cell-centered finite difference scheme, a simple multigrid algorithm can be defined and used as a preconditioner …”
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    Journal Article
  11. 11

    Multigrid methods for isogeometric analysis with THB-splines von Hofreither, Clemens, Jüttler, Bert, Kiss, Gábor, Zulehner, Walter

    ISSN: 0045-7825, 1879-2138
    Veröffentlicht: Elsevier B.V 15.08.2016
    “… We propose a geometric multigrid algorithm for the solution of the linear systems which arise when using hierarchical spline spaces for isogeometric discretizations of elliptic partial differential equations …”
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    Journal Article
  12. 12

    Investigation of the efficiency of the multigrid method for finite element electromagnetic field computations using nested meshes von Cingoski, V., Tsubota, K., Yamashita, H.

    ISSN: 0018-9464
    Veröffentlicht: New York, NY IEEE 01.09.1999
    Veröffentlicht in IEEE transactions on magnetics (01.09.1999)
    “… Investigation of the efficiency of the multigrid solution methods for electromagnetic field computations using nested finite element meshes is presented …”
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    Journal Article Tagungsbericht
  13. 13

    Agglomeration-based geometric multigrid schemes for the Virtual Element Method von Antonietti, Paola Francesca, Berrone, Stefano, Busetto, Martina, Verani, Marco

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 27.02.2022
    Veröffentlicht in arXiv.org (27.02.2022)
    “… The sequence of agglomerated tessellations are nested, but the corresponding multilevel virtual discrete spaces are generally non-nested thus resulting into non-nested multigrid algorithms …”
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    Paper
  14. 14

    Phase unwrapping by accumulation of residual maps von Rivera, Mariano, Hernandez-Lopez, Francisco J., Gonzalez, Adonai

    ISSN: 0143-8166, 1873-0302
    Veröffentlicht: Elsevier Ltd 01.01.2015
    Veröffentlicht in Optics and lasers in engineering (01.01.2015)
    “… The sub-estimation degree is controlled by an algorithm׳s parameter. We present an efficiently computational multigrid implementation based on a nested strategy …”
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    Journal Article
  15. 15

    A Full Multigrid Method for Linear Complementarity Problems arising from Elastic Normal Contact Problems von Zhao, Jing, Vollebregt, Edwin A.H., Oosterlee, Cornelis W.

    ISSN: 1392-6292, 1648-3510
    Veröffentlicht: Taylor & Francis 15.03.2014
    Veröffentlicht in Mathematical modelling and analysis (15.03.2014)
    “… This paper presents a full multigrid (FMG) technique, which combines a multigrid method, an active set algorithm and a nested iteration technique, to solve a linear complementarity problem (LCP …”
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    Journal Article
  16. 16

    Nested multigrid vector and scalar potential finite element method for three-dimensional time-harmonic electromagnetic analysis von Zhu, Yu, Cangellaris, Andreas C.

    ISSN: 0048-6604, 1944-799X
    Veröffentlicht: Blackwell Publishing Ltd 01.06.2002
    Veröffentlicht in Radio science (01.06.2002)
    “… The iterative solution of the finite element matrix on the finest mesh is performed using the conjugate gradient method, while the nested multigrid vector and scalar potential algorithm acts …”
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    Journal Article
  17. 17

    Multigrid solver for the reference interaction site model of molecular liquids theory von Sergiievskyi, Volodymyr P., Hackbusch, Wolfgang, Fedorov, Maxim V.

    ISSN: 0192-8651, 1096-987X, 1096-987X
    Veröffentlicht: Hoboken Wiley Subscription Services, Inc., A Wiley Company 15.07.2011
    Veröffentlicht in Journal of computational chemistry (15.07.2011)
    “… In this article, we propose a new multigrid‐based algorithm for solving integral equations of the reference interactions site model (RISM …”
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    Journal Article
  18. 18

    Matrix-free implementation of the non-nested multigrid method von Feder, Marco, Heltai, Luca, Kronbichler, Martin, Munch, Peter

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 14.12.2024
    Veröffentlicht in arXiv.org (14.12.2024)
    “… Traditionally, the geometric multigrid method is used with nested levels. However, the construction of a suitable hierarchy for very fine and unstructured grids is, in general, highly non-trivial …”
    Volltext
    Paper
  19. 19

    Iterative Preconditioned Methods in Krylov Spaces: Trends of the 21st Century von Il’in, V. P.

    ISSN: 0965-5425, 1555-6662
    Veröffentlicht: Moscow Pleiades Publishing 01.11.2021
    Veröffentlicht in Computational mathematics and mathematical physics (01.11.2021)
    “… A analytic review of major problems and new mathematical and technological discoveries in methods for solving SLAEs is given. This stage of mathematical …”
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    Journal Article
  20. 20

    Local/global non-intrusive crack propagation simulation using a multigrid X-FEM solver von Passieux, Jean-Charles, Réthoré, Julien, Gravouil, Anthony, Baietto, Marie-Christine

    ISSN: 0178-7675, 1432-0924
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2013
    Veröffentlicht in Computational mechanics (01.12.2013)
    “… A Local/global non-intrusive coupling algorithm is proposed for the analysis of mixed-mode crack propagation …”
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    Journal Article