Výsledky vyhledávání - V-cycle multigrid algorithm
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Uniform Convergence of V-cycle Multigrid Algorithms for Two-Dimensional Fractional Feynman–Kac Equation
ISSN: 0885-7474, 1573-7691, 1573-7691Vydáno: New York Springer US 01.02.2018Vydáno 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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V-cycle Multigrid Algorithms for Discontinuous Galerkin Methods on Non-nested Polytopic Meshes
ISSN: 0885-7474, 1573-7691Vydáno: New York Springer US 01.01.2019Vydáno 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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Multigrid Algorithm for Immersed Finite Element Discretizations of Elliptic Interface Problems
ISSN: 0885-7474, 1573-7691Vydáno: New York Springer US 01.01.2024Vydáno 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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V-cycle multigrid algorithms for discontinuous Galerkin methods on non-nested polytopic meshes
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 29.09.2017Vydáno 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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Parallel multigrid method for solving inverse problems
ISSN: 2215-0161, 2215-0161Vydáno: Netherlands Elsevier B.V 01.01.2022Vydáno 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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Uniform convergence of V-cycle multigrid algorithms for two-dimensional fractional Feynman-Kac equation
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 05.06.2017Vydáno 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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Analysis of V-Cycle Multigrid Algorithms for Forms Defined by Numerical Quadrature
ISSN: 1064-8275, 1095-7197Vydáno: Philadelphia Society for Industrial and Applied Mathematics 01.05.1994Vydáno 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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A simplified new multigrid algorithm of lattice Boltzmann method for steady states
ISSN: 0898-1221, 1873-7668Vydáno: Elsevier Ltd 01.04.2023Vydáno v 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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Sixth order compact scheme combined with multigrid method and extrapolation technique for 2D poisson equation
ISSN: 0021-9991, 1090-2716Vydáno: Kidlington Elsevier Inc 10.01.2009Vydáno 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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Uniform convergence of multigrid V-cycle on adaptively refined finite element meshes for second order elliptic problems
ISSN: 1006-9283, 1862-2763Vydáno: Department of Mathematics, Nanjing University, Nanjing 210093, China%Institute of Computational Mathematics, Chinese Academy of Sciences, Beijing 100080, China 01.10.2006Vydáno v Science in China. Series A, Mathematics, physics, astronomy (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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A Geometric Multigrid Method for 3D Magnetotelluric Forward Modeling Using Finite-Element Method
ISSN: 2072-4292, 2072-4292Vydáno: Basel MDPI AG 01.01.2023Vydáno 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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Comparison of Second- and Fourth-Order Discretizations for Multigrid Poisson Solvers
ISSN: 0021-9991, 1090-2716Vydáno: Elsevier Inc 01.04.1997Vydáno 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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A convergent multigrid cycle for the hybridized mixed method
ISSN: 1070-5325, 1099-1506Vydáno: Chichester, UK John Wiley & Sons, Ltd 01.09.2009Vydáno v Numerical linear algebra with applications (01.09.2009)“…We consider the application of a variable V‐cycle multigrid algorithm for the hybridized mixed method for second…”
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Designing Resilient Parallel Multigrid Methods on Unstructured Adaptive Meshes
ISBN: 9798304954730Vydáno: 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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Uniform convergence estimates for multigrid $V$-cycle algorithms with less than full elliptic regularity
ISBN: 9780821851586, 0821851586ISSN: 0271-4132, 1098-3627Vydáno: Providence, Rhode Island American Mathematical Society 1994Vydáno v Domain Decomposition Methods in Science and Engineering (1994)Získat plný text
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Multigrid algorithm for the cell-centered finite difference method II: discontinuous coefficient case
ISSN: 0749-159X, 1098-2426Vydáno: Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.09.2004Vydáno v Numerical methods for partial differential equations (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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An explicit Chebyshev pseudospectral multigrid method for incompressible Navier–Stokes equations
ISSN: 0045-7930, 1879-0747Vydáno: Kidlington Elsevier Ltd 2010Vydáno 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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V -Cycle Multigrid for Cell-Centered Finite Differences
ISSN: 1064-8275, 1095-7197Vydáno: Philadelphia Society for Industrial and Applied Mathematics 1999Vydáno v 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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Optimized partial semicoarsening multigrid algorithm for heat diffusion problems and anisotropic grids
ISSN: 0307-904XVydáno: Elsevier Inc 01.10.2012Vydáno 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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Analysis of a multigrid preconditioner for Crouzeix-Raviart discretization of elliptic partial differential equation with jumpcoefficients
ISSN: 1070-5325, 1099-1506Vydáno: Oxford Wiley Subscription Services, Inc 01.01.2014Vydáno v 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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