Search Results - V-cycle multigrid algorithm

Convergence of the Multigrid V-Cycle Algorithm for Second-Order Boundary Value Problems without Full Elliptic Regularity

Authors: Brenner, Susanne C.

Source: Mathematics of Computation, 2002 Apr 01. 71(238), 507-525.

Access URL: https://www.jstor.org/stable/2698831

Convergence of the multigrid $V$-cycle algorithm for second-order boundary value problems without full elliptic regularity: Convergence of the multigrid \(V\)-cycle algorithm for second-order boundary value problems without full elliptic regularity

Authors: Susanne C. Brenner

Source: Mathematics of Computation. 71:507-526

Subject Terms: domain regularity, second order elliptic boundary value problems, Multigrid methods, domain decomposition for boundary value problems involving PDEs, convergence, Boundary value problems for second-order elliptic equations, finite element method, Stability and convergence of numerical methods for boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 0101 mathematics, Richardson relaxation scheme, 01 natural sciences, multigrid \(V\)-cycle algorithm

File Description: application/xml

Access URL: https://www.ams.org/mcom/2002-71-238/S0025-5718-01-01361-8/S0025-5718-01-01361-8.pdf
https://zbmath.org/1720958
https://doi.org/10.1090/s0025-5718-01-01361-8
https://www.ams.org/journals/mcom/2002-71-238/S0025-5718-01-01361-8/home.html
https://www.ams.org/mcom/2002-71-238/S0025-5718-01-01361-8/S0025-5718-01-01361-8.pdf
https://digitalcommons.lsu.edu/mathematics_pubs/188/
https://dblp.uni-trier.de/db/journals/moc/moc71.html#Brenner02
http://ui.adsabs.harvard.edu/abs/2002MaCom..71..507B/abstract
https://doi.org/10.1090/S0025-5718-01-01361-8

Uniform convergence of V-cycle multigrid algorithms for two-dimensional fractional Feynman–Kac equation

Authors: Chen, Minghua Deng, Weihua Serra-Capizzano, Stefano

Source: Journal of Scientific Computing. 74:1034-1059

File Description: print

Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-325187

Convergence estimates for multigrid algorithms with SSC smoothers and applications to overlapping domain decomposition

Authors: E. Aulisa G. Bornia S. Calandrini et al.

Source: Applied Numerical Mathematics. 131:16-38

Subject Terms: FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), 0101 mathematics, Multigrid SSC algorithm Domain decomposition Hanging nodes Local refinement V-cycle, 01 natural sciences, 65N55, 65N30

Access URL: http://arxiv.org/pdf/1709.09628
http://arxiv.org/abs/1709.09628
https://arxiv.org/pdf/1709.09628v1
https://ui.adsabs.harvard.edu/abs/2017arXiv170909628A/abstract
https://arxiv.org/abs/1709.09628v1
https://www.sciencedirect.com/science/article/pii/S0168927418301004
https://hdl.handle.net/11585/1012949

A simplified new multigrid algorithm of lattice Boltzmann method for steady states

Authors: An, Bo Bergadà Granyó, Josep Maria Sang, W.M et al.

Contributors: An, Bo Bergadà Granyó, Josep Maria Sang, W.M et al.

Source: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Subject Terms: Anàlisi numèrica, Xarxes múltiples, Teoria de, Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica, Lattice Boltzmann method, Reticles, Lattice theory, Multigrid methods (Numerical analysis), Reticles, Teoria de, Algorismes, Simplified new algorithm, Dinàmica de fluids computacional, Computational fluid dynamics, Xarxes múltiples, Mètodes de (Anàlisi numèrica), 01 natural sciences, Àrees temàtiques de la UPC::Física::Física de fluids, Computational efficiency and accuracy, Mètodes de (Anàlisi numèrica), 0103 physical sciences, Multigrid method, Algorithms, Numerical analysis

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A simplified new multigrid algorithm of lattice Boltzmann method for steady states

Authors: Universitat Politècnica de Catalunya. Departament de Mecànica de Fluids Universitat Politècnica de Catalunya. CATMech - Centre Avançat de Tecnologies Mecàniques An, Bo et al.

Index Terms: Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica, Àrees temàtiques de la UPC::Física::Física de fluids, Multigrid methods (Numerical analysis), Computational fluid dynamics, Lattice theory, Algorithms, Numerical analysis, Multigrid method, Lattice Boltzmann method, Simplified new algorithm, Computational efficiency and accuracy, Xarxes múltiples, Mètodes de (Anàlisi numèrica), Dinàmica de fluids computacional, Reticles, Teoria de, Algorismes, Anàlisi numèrica, Article

URL: http://hdl.handle.net/2117/382171
https://www.sciencedirect.com/science/article/abs/pii/S0898122123000135
https://www.sciencedirect.com/science/article/abs/pii/S0898122123000135

A multigrid algorithm for parallel computers: CPMG

Authors: Mohammad Zubair Chester E. Grosch S.N. Gupta

Source: Journal of Scientific Computing. 7:263-279

Subject Terms: Numerical solution of boundary value problems involving ordinary differential equations, convergence rate, Multigrid methods, domain decomposition for boundary value problems involving PDEs, 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, Linear boundary value problems for ordinary differential equations, parallel multigrid algorithm, Parallel numerical computation, \(V\)-cycle multigrid algorithm, 02 engineering and technology, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/399282
https://doi.org/10.1007/bf01061331
https://link.springer.com/article/10.1007/BF01061331

The analysis of multigrid algorithms for cell centered finite difference methods

Authors: Richard E. Ewing Joseph E. Pasciak James H. Bramble et al.

Source: Advances in Computational Mathematics. 5:15-29

Subject Terms: Finite difference methods for boundary value problems involving PDEs, Multigrid methods, domain decomposition for boundary value problems involving PDEs, convergence, \(V\)-cycle, multigrid algorithm, Stability and convergence of numerical methods for boundary value problems involving PDEs, cell centered finite difference approximations, \(W\)-cycle, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/content/pdf/10.1007/BF02124733.pdf
https://dblp.uni-trier.de/db/journals/adcm/adcm5.html#BrambleEPS96
https://doi.org/10.1007/BF02124733
https://link.springer.com/article/10.1007%2FBF02124733

V-Cycle Multigrid for Cell-Centered Finite Differences: V-cycle multigrid for cell-centered finite differences

Authors: Kwak, DY Kwak, Do Young

Source: SIAM Journal on Scientific Computing. 21:552-564

Subject Terms: Finite difference methods for boundary value problems involving PDEs, Iterative numerical methods for linear systems, Multigrid methods, domain decomposition for boundary value problems involving PDEs, convergence, algorithm, finite difference, finite volume method, Stability and convergence of numerical methods for boundary value problems involving PDEs, 16. Peace & justice, 01 natural sciences, cell-centered method, Boundary value problems for second-order elliptic equations, multigrid method, 0101 mathematics, numerical experiments

File Description: application/xml

Access URL: https://dl.acm.org/doi/10.1137/S1064827597327310
https://locus.siam.org/doi/abs/10.1137/S1064827597327310
https://epubs.siam.org/doi/abs/10.1137/S1064827597327310
https://dblp.uni-trier.de/db/journals/siamsc/siamsc21.html#Kwak99

Parallel multigrid algorithms for computational fluid dynamics and heat transfer

Authors: Soria Guerrero, Manel

Contributors: University/Department: Universitat Politècnica de Catalunya. Departament de Màquines i Motors Tèrmics

Thesis Advisors: Oliva, Asensio, Pérez Segarra, Carlos David

Source: TDX (Tesis Doctorals en Xarxa)

Subject Terms: ordinadors paral·lels, multigrid, CFD, 3328. Processos tecnològics

File Description: application/pdf

Access URL: http://www.tdx.cat/TDX-0317105-153526
http://hdl.handle.net/10803/6678
https://dx.doi.org/10.5821/dissertation-2117-93989

The V-cycle multigrid convergence of some finite difference scheme for the Helmholtz equation: The \(V\)-cycle multigrid convergence of some finite difference scheme for the Helmholtz equation

Authors: Kwak, DY Kwak, Do Young Lee, JS Lee Jun S.

Subject Terms: Finite difference methods for boundary value problems involving PDEs, Multigrid methods, domain decomposition for boundary value problems involving PDEs, convergence, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, mean value solution, \(V\)-cycle multigrid algorithm, Helmholtz equation, Stability and convergence of numerical methods for boundary value problems involving PDEs, numerical experiments, finite difference method

File Description: application/xml

Access URL: https://zbmath.org/2219915

Multigrid convergence: a brief trip down memory lane

Authors: Bank, Randolph E. Yserentant, Harry

Source: Computing and Visualization in Science. 13(4)

Subject Terms: Mathematics, Calculus of Variations and Optimal Control, Optimization, Numerical Analysis, Visualization, Algorithms, Computer Applications in Chemistry, Computational Mathematics and Numerical Analysis, Multigrid convergence, V-Cycle

File Description: application/pdf

Access URL: https://escholarship.org/uc/item/1dk0t7gd
https://escholarship.org/content/qt1dk0t7gd/qt1dk0t7gd.pdf

Employ a multigrid algorithm to solve the shape-transformation phase-field model.

Authors: He, Jilong¹ (AUTHOR) jilonghe@zjhu.edu.cn

Source: Engineering Analysis with Boundary Elements. Nov2025, Vol. 180, pN.PAG-N.PAG. 1p.

Subject Terms: *PHASE transitions, *ALGEBRAIC multigrid methods, *REACTION-diffusion equations, *NUMERICAL analysis, *MATHEMATICAL optimization, *MATHEMATICAL models, *COMPUTER simulation

Improving the arithmetic intensity of multigrid with the help of polynomial smoothers: Improving the arithmetic intensity of multigrid with the help of polynomial smoothers.

Authors: Wim Vanroose Przemyslaw Klosiewicz Pieter Ghysels

Source: Numerical linear algebra with applications

Subject Terms: Multigrid methods, domain decomposition for boundary value problems involving PDEs, algorithm, convergence, bound by memory bandwidth, V-cycle, Chebyshev iteration, Stability and convergence of numerical methods for boundary value problems involving PDEs, 0101 mathematics, multigrid, 01 natural sciences, Mathematics, arithmetic intensity

File Description: application/xml

Access URL: https://onlinelibrary.wiley.com/doi/10.1002/nla.1808
https://dblp.uni-trier.de/db/journals/nla/nla19.html#GhyselsKV12
https://doi.org/10.1002/nla.1808
https://hdl.handle.net/10067/961930151162165141

Multigrid Algorithm for Immersed Finite Element Discretizations of Elliptic Interface Problems.

Authors: Chu, Hanyu Song, Yongzhong Ji, Haifeng et al.

Source: Journal of Scientific Computing; Jan2024, Vol. 98 Issue 1, p1-35, 35p

A V-CYCLE MULTIGRID METHOD FOR THE PLATE BENDING PROBLEM DISCRETIZED BY NONCONFORMING FINITE ELEMENTS.

Authors: Xue-jun Xu Li-kang Li

Source: Journal of Computational Mathematics. Sep99, Vol. 17 Issue 5, p533. 12p.

Subject Terms: *MULTIGRID methods (Numerical analysis), *ALGORITHMS, *FINITE element method

An improved multigrid algorithm for n-irregular meshes with subspace correction smoother.

Authors: Aulisa, Eugenio Calandrini, Sara Capodaglio, Giacomo

Source: Computers & Mathematics with Applications. Aug2018, Vol. 76 Issue 3, p620-632. 13p.

Subject Terms: *MULTIGRID methods (Numerical analysis), *ALGORITHMS, *SUBSPACES (Mathematics), *CORRECTION factors, *SMOOTHNESS of functions

MULTIGRID ALGORITHM FOR THE COUPLING SYSTEM OF NATURAL BOUNDARY ELEMENT METHOD AND FINITE ELEMENT METHOD FOR UNBOUNDED DOMAIN PROBLEMS

Authors: Zhang, Sheng Yu, Dehao

Source: Journal of Computational Mathematics, 2007 Jan 01. 25(1), 13-26.

Access URL: https://www.jstor.org/stable/43693341

The Improved Robustness of Multigrid Elliptic Solvers Based on Multiple Semicoarsened Grids: The improved robustness of multigrid elliptic solvers based on multiple semicoarsened grids

Authors: Naomi H. Naik John Van Rosendale

Source: SIAM Journal on Numerical Analysis. 30:215-229

Subject Terms: Finite difference methods for boundary value problems involving PDEs, Iterative numerical methods for linear systems, Multigrid methods, domain decomposition for boundary value problems involving PDEs, multigrid convergence rates, plane relaxation algorithms, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, 01 natural sciences, multiple semicoarsened grids, strongly anisotropic problems, Boundary value problems for second-order elliptic equations, parallel implementation, parallel algorithm, point relaxation, \(V\)-cycle, multigrid algorithm, 0101 mathematics

File Description: application/xml

Access URL: https://ntrs.nasa.gov/api/citations/19920001130/downloads/19920001130.pdf
https://epubs.siam.org/doi/abs/10.1137/0730010
https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19920001130.pdf
https://www.jstor.org/stable/2158103
http://www.dtic.mil/dtic/tr/fulltext/u2/a242373.pdf
https://repository.exst.jaxa.jp/dspace/handle/a-is/130541

A fast nested multi‐grid viscous flow solver for adaptive Cartesian/Quad grids: A fast nested multigrid viscous flow solver for adaptive Cartesian/quad grids

Authors: Z. J. Wang

Source: International Journal for Numerical Methods in Fluids. 33:657-680

Subject Terms: cell-centered finite volume discretization, Gas dynamics (general theory), Finite volume methods applied to problems in fluid mechanics, local time stepping scheme, 02 engineering and technology, \(W\)-cycle, 01 natural sciences, least-squares linear reconstruction, nested multigrid algorithm, Roe's flux splitting, 0203 mechanical engineering, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, differentiable limiter, surface extrusion, adaptive Cartesian/quad grid viscous flow solver, 0103 physical sciences, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, \(V\)-cycle

File Description: application/xml

Access URL: https://zbmath.org/1491270
https://doi.org/10.1002/1097-0363(20000715)33:5<657::aid-fld24>3.0.co;2-g
https://ui.adsabs.harvard.edu/abs/2000IJNMF..33..657W/abstract
http://arc.aiaa.org/doi/pdf/10.2514/6.1996-2091