Search Results - \(V\)-cycle multigrid algorithm

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  1. 1

    Parallel Time Integration with Multigrid by Falgout, R. D., Friedhoff, S., Kolev, Tz. V., MacLachlan, S. P., Schroder, J. B.

    ISSN: 1064-8275, 1095-7197
    Published: 01.01.2014
    Published in SIAM journal on scientific computing (01.01.2014)
    “…We consider optimal-scaling multigrid solvers for the linear systems that arise from the discretization of problems with evolutionary behavior…”
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    Journal Article
  2. 2

    Multigrid Methods of Macrogrid Domain Decomposition by Il’in, V. P.

    ISSN: 0965-5425, 1555-6662
    Published: Moscow Pleiades Publishing 01.06.2025
    “…Integrated domain decomposition multigrid methods (DDM-MG) for solving large systems of linear algebraic equations (SLAEs…”
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    Journal Article
  3. 3

    Multigrid methods with space–time concurrency by Falgout, R. D., Friedhoff, S., Kolev, Tz. V., MacLachlan, S. P., Schroder, J. B., Vandewalle, S.

    ISSN: 1432-9360, 1433-0369
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2017
    Published in Computing and visualization in science (01.08.2017)
    “… only. This paper considers the three basic options of multigrid algorithms on space–time grids that allow parallelism in space and time…”
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    Journal Article
  4. 4

    Algebraic-Geometric Multigrid Methods of Domain Decomposition by Il’in, V. P.

    ISSN: 1995-4239, 1995-4247
    Published: Moscow Pleiades Publishing 01.06.2025
    Published in Numerical analysis and applications (01.06.2025)
    “… The SLAE are preconditioned by a uniform combined method that includes domain decomposition and recursive application of a two-grid algorithm, which are implemented by forming block-tridiagonal…”
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    Journal Article
  5. 5

    An adaptive multigrid algorithm for simulating solid tumor growth using mixture models by Wise, S.M., Lowengrub, J.S., Cristini, V.

    ISSN: 0895-7177, 1872-9479
    Published: Kidlington Elsevier Ltd 2011
    “…In this paper we give the details of the numerical solution of a three-dimensional multispecies diffuse interface model of tumor growth, which was derived in [S.M. Wise, J.S. Lowengrub, H.B. Frieboes, V…”
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    Journal Article
  6. 6

    Multigrid Incomplete Factorization Methods in Krylov Subspaces by Il’in, V. P.

    ISSN: 1072-3374, 1573-8795
    Published: Cham Springer International Publishing 09.05.2023
    “…The paper studies multigrid methods for solving systems of linear algebraic equations resulting from the seven-point discretization of the three-dimensional Dirichlet problem for an elliptic…”
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    Journal Article
  7. 7

    Fast Solution of 3-D Eddy-Current Problems in Multiply Connected Domains by a, v-φ and t-φ Formulations with Multigrid-based Algorithm for Cohomology Generation by Moro, Federico, Napov, Artem, Pellikka, Matti, Smajic, Jasmin, Codecasa, Lorenzo

    ISSN: 2169-3536, 2169-3536
    Published: Piscataway IEEE 2022
    Published in IEEE access (2022)
    “… This algorithm relies on an algebraic multigrid solver for curl-curl field problems, which ensures optimal computational complexity…”
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    Journal Article
  8. 8

    A Parallel Newton Multigrid Framework for Monolithic Fluid-Structure Interactions by Failer, L., Richter, T.

    ISSN: 0885-7474, 1573-7691
    Published: New York Springer US 01.02.2020
    Published in Journal of scientific computing (01.02.2020)
    “…We present a monolithic parallel Newton-multigrid solver for nonlinear nonstationary three dimensional fluid-structure interactions in arbitrary Lagrangian Eulerian (ALE) formulation…”
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    Journal Article
  9. 9

    An adaptive multigrid on block-structured grids by Feodoritova, O B, Zhukov, V T

    ISSN: 1742-6588, 1742-6596
    Published: Bristol IOP Publishing 01.10.2020
    Published in Journal of physics. Conference series (01.10.2020)
    “…An implementation of the multigrid method on conformal block-structured grids is proposed…”
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    Journal Article
  10. 10

    3DRISM Multigrid Algorithm for Fast Solvation Free Energy Calculations by Sergiievskyi, Volodymyr P, Fedorov, Maxim V

    ISSN: 1549-9618
    Published: United States 12.06.2012
    Published in Journal of chemical theory and computation (12.06.2012)
    “…) a fast multigrid algorithm for solving the high-dimensional 3DRISM integral equations; and (iii) a recently introduced universal correction…”
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    Journal Article
  11. 11

    A multigrid Waveform Relaxation Method for solving the Pennes bioheat equation by Santiago, Cosmo D., Ströher, Gylles R., Pinto, Marcio A. V., Franco, Sebastião R.

    ISSN: 1040-7782, 1521-0634
    Published: Philadelphia Taylor & Francis 03.05.2023
    “… Verification of code is presented. The performance analysis of the multigrid method confirms the convergence and efficiency of the algorithm…”
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  12. 12

    An Approach to the Implementation of the Multigrid Method with Full Approximation for CFD Problems by Gorobets, A. V.

    ISSN: 0965-5425, 1555-6662
    Published: Moscow Pleiades Publishing 01.11.2023
    “…This paper is devoted to the use of the multigrid method to accelerate calculations of compressible flows in a stationary formulation on unstructured grids…”
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    Journal Article
  13. 13

    Multigrid Accelerated Tensor Approximation of Function Related Multidimensional Arrays by Khoromskij, B. N., Khoromskaia, V.

    ISSN: 1064-8275, 1095-7197
    Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2009
    Published in SIAM journal on scientific computing (01.01.2009)
    “…$, based on the idea of multigrid acceleration. The approach stands on successive reiterations of the orthogonal Tucker tensor approximation on a sequence of nested refined grids…”
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    Journal Article
  14. 14

    An Efficient Parallel Implementation of the SIMPLE Algorithm Based on a Multigrid Method by Kozelkov, A. S., Lashkin, S. V., Kurkin, A. A., Kornev, A. V., Vyalykh, A. M.

    ISSN: 1995-4239, 1995-4247
    Published: Moscow Pleiades Publishing 01.02.2020
    Published in Numerical analysis and applications (01.02.2020)
    “…) algorithm to numerically solve the Navier–Stokes system of equations for viscous incompressible flows…”
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    Journal Article
  15. 15

    Algebraic multigrid preconditioning within parallel finite-element solvers for 3-D electromagnetic modelling problems in geophysics by Koldan, Jelena, Puzyrev, Vladimir, de la Puente, Josep, Houzeaux, Guillaume, Cela, José María

    ISSN: 0956-540X, 1365-246X
    Published: Oxford University Press 01.06.2014
    Published in Geophysical journal international (01.06.2014)
    “…) solvers for 3-D electromagnetic (EM) numerical modelling in exploration geophysics. This new preconditioner is based on algebraic multigrid (AMG…”
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    Journal Article Publication
  16. 16

    On Multigrid Methods for Solving Two-Dimensional Boundary-Value Problems by Gurieva, Y. L., Il’in, V. P., Petukhov, A. V.

    ISSN: 1072-3374, 1573-8795
    Published: New York Springer US 01.08.2020
    “…Various methods for constructing algebraic multigrid type methods for solving multidimensional boundary-value problems are considered…”
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  17. 17

    A multigrid waveform relaxation method for solving the poroelasticity equations by Franco, S. R., Rodrigo, C., Gaspar, F. J., Pinto, M. A. V.

    ISSN: 0101-8205, 2238-3603, 1807-0302
    Published: Cham Springer International Publishing 01.09.2018
    Published in Computational & applied mathematics (01.09.2018)
    “… it. A semi-algebraic mode analysis is proposed to theoretically analyze the convergence of the multigrid waveform relaxation algorithm…”
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  18. 18

    A Multigrid Algorithm for the Transfinite-Element Time-Domain Method Using the , V-Formulation by Weiss, B., Biro, O., Caldera, P., Hollaus, K., Paoli, G., Preis, K., Stockreiter, C.

    ISSN: 0018-9464, 1941-0069
    Published: New York, NY IEEE 01.04.2007
    Published in IEEE transactions on magnetics (01.04.2007)
    “… To solve the resulting system of equations, a multigrid algorithm is implemented. The standard prolongation operator has to be altered to fit the transfinite elements and a new method for constructing the hierarchy of grids is presented…”
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    Journal Article Conference Proceeding
  19. 19

    Application of a Robust Multigrid Technique for the Parallel Solution of Initial-Boundary Value Problems by Martynenko, S. I., Gökalp, I., Bakhtin, V. A., Karaca, M., Toktaliev, P. D., Semenev, P. A.

    ISSN: 2070-0482, 2070-0490
    Published: Moscow Pleiades Publishing 01.12.2022
    “…This article is devoted to the construction of a parallel multigrid algorithm for the numerical solution of (non…”
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    Journal Article
  20. 20

    An adaptive scalable fully implicit algorithm based on stabilized finite element for reduced visco-resistive MHD by Tang, Qi, Chacón, Luis, Kolev, Tzanio V., Shadid, John N., Tang, Xian-Zhu

    ISSN: 0021-9991, 1090-2716
    Published: Cambridge Elsevier Inc 01.04.2022
    Published in Journal of computational physics (01.04.2022)
    “… Therefore the development of scalable, implicit MHD algorithms and high-resolution adaptive mesh refinement strategies is of considerable importance…”
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    Journal Article