Výsledky vyhledávání - Two-level AND multigrid algorithm*

Multigrid algorithms for hp-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes Autor Antonietti, P. F., Houston, P., Hu, X., Sarti, M., Verani, M.

“…In this paper we analyze the convergence properties of two-level and W-cycle multigrid solvers for the numerical solution of the linear system of equations arising from hp -version symmetric interior…”
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p-Multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier–Stokes equations Autor Fidkowski, Krzysztof J., Oliver, Todd A., Lu, James, Darmofal, David L.

“… = 0 discretization of the scalar convection–diffusion equation. Fourier analysis of the two-level p-multigrid algorithm for convection…”
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A Multigrid Solver for PDE-Constrained Optimization with Uncertain Inputs Autor Ciaramella, Gabriele, Nobile, Fabio, Vanzan, Tommaso

“…In this manuscript, we present a collective multigrid algorithm to solve efficiently the large saddle-point systems of equations that typically arise in PDE-constrained optimization under uncertainty…”
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A p-multigrid compact gas-kinetic scheme for steady-state acceleration Autor Ji, Xing, Shyy, Wei, Xu, Kun

“… The p-multigrid strategy is a two-level algorithm. On the high-order level, the CGKS with high-order compact initial reconstruction is used to evolve both cell…”
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Auxiliary space multigrid method based on additive Schur complement approximation Autor Kraus, J., Lymbery, M., Margenov, S.

“…‐level preconditioner and the additive Schur complement approximation are derived. The two‐level method is recursively extended to define the auxiliary space multigrid algorithm…”
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Multigrid interpretations of the parareal algorithm leading to an overlapping variant and MGRIT Autor Gander, Martin J., Kwok, Felix, Zhang, Hui

“… We first review the three main interpretations of the parareal algorithm as a two-level method, a direct one, one based on geometric multigrid and one based on algebraic multigrid…”
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Progress with Multigrid Schemes for Hypersonic Flow Problems Autor Radespiel, R., Swanson, R.C.

“… Two-level versions of the various multigrid algorithms are applied to the two-dimensional advection equation, and Fourier analysis is used to determine their damping properties…”
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Two level algorithms for partitioned fluid–structure interaction computations Autor van Zuijlen, A.H., Bosscher, S., Bijl, H.

“… As a result, the two level method can be easily implemented into existing solvers. Two types of two level algorithms were implemented…”
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Algebraic multigrid block preconditioning for multi-group radiation diffusion equations Autor Yue, Xiaoqiang, Zhang, Shulei, Xu, Xiaowen, Shi, Shu, Shi, Weidong

“…\) is the number of energy groups. The preconditioning techniques are based on the monolithic classical algebraic multigrid method, physical-variable based coarsening two-level algorithm and two types of block Schur complement preconditioners…”
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Multigrid transfers for nonsymmetric systems based on Schur complements and Galerkin projections Autor Wiesner, T. A., Tuminaro, R. S., Wall, W. A., Gee, M. W.

“… This connection demonstrates that the convergence rate of a two‐level model multigrid iteration is completely governed by how well the coarse discretization approximates a Schur complement operator…”
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On Multigrid Methods for Solving Two-Dimensional Boundary-Value Problems Autor Gurieva, Y. L., Il’in, V. P., Petukhov, A. V.

“… Two-level iterative algorithms in Krylov subspaces based on approximating the Schur complement obtained by eliminating the edge nodes of the coarse grid are described on the example of two-dimensional rectangular grids…”
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A multigrid solver for PDE-constrained optimization with uncertain inputs Autor Ciaramella, Gabriele, Nobile, Fabio, Vanzan, Tommaso

“…In this manuscript, we present a collective multigrid algorithm to solve efficiently the large saddle-point systems of equations that typically arise in PDE-constrained optimization under uncertainty…”
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A 2-level domain decomposition algorithm for inverse diffuse optical tomography Autor Il-Young Son, Guven, M., Yazici, B., Intes, X.

“… We propose a combination of a two-level multigrid algorithm with a modified multiplicative Schwarz algorithm, where a conjugate gradient is used as an accelerator to solve each sub-problem formulated…”
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Algebraic multigrid methods Autor Xu, Jinchao, Zikatanov, Ludmil

“… AMG is often understood as the acronym of ‘algebraic multigrid’, but it can also be understood as ‘abstract multigrid…”
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A p-multigrid compact gas-kinetic scheme for steady-state acceleration Autor Ji, Xing, Shyy, Wei, Xu, Kun

“… The p-multigrid strategy is a two-level algorithm. On the high-order level, the high-order CGKS is used to evolve both cell-averaged conservative flow variables…”
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A hierarchical two-level multigrid solver Autor Pressburger, Y., Perucchio, R.

“…In this paper we present a fast, inherently parallel, two-level multigrid (TLMG) algorithm for solving quadratic finite element models containing tetrahedral meshes…”
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Coarse-grid selection using simulated annealing Autor Zaman, Tareq Uz, MacLachlan, Scott P., Olson, Luke N., West, Matthew

“…” coarse grid within the setting of a two-level reduction-based algebraic multigrid method and is shown…”
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Evaluation of the Capability of the Multigrid Method in Speeding Up the Convergence of Iterative Methods Autor Harimi, Iman, Saghafian, Mohsen

“…The performance of the multigrid method and the effect of different grid levels on the convergence rate are evaluated…”
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Comparison of Two-Level Preconditioners Derived from Deflation, Domain Decomposition and Multigrid Methods Autor Tang, J. M., Nabben, R., Vuik, C., Erlangga, Y. A.

“… In the literature, various two-level PCG methods are known, coming from the fields of deflation, domain decomposition and multigrid…”
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Agglomeration-based geometric multigrid schemes for the Virtual Element Method Autor Antonietti, Paola Francesca, Berrone, Stefano, Busetto, Martina, Verani, Marco

“… We prove the uniform convergence of the two-level method with respect to the mesh size and the uniform convergence of the W-cycle and the V-cycle multigrid algorithms with respect to the mesh size…”
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