Suchergebnisse - Two-level and multigrid algorithms*

Multigrid algorithms for hp-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes von 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 von 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 von Ciaramella, Gabriele, Nobile, Fabio, Vanzan, Tommaso

“… , and develop a novel convergence analysis of collective smoothers and collective two-level methods …”
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Auxiliary space multigrid method based on additive Schur complement approximation von 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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A p-multigrid compact gas-kinetic scheme for steady-state acceleration von 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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Progress with Multigrid Schemes for Hypersonic Flow Problems von 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 von 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 von 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 interpretations of the parareal algorithm leading to an overlapping variant and MGRIT von 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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A 2-level domain decomposition algorithm for inverse diffuse optical tomography von 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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Incremental unknowns method based on the θ -scheme for time-dependent convection–diffusion equations von Song, Lunji, Wu, Yujiang

“… –diffusion equations in two-dimensional case. The IMG algorithm (Inertial Manifold–Multigrid algorithm) including the second-order incremental unknowns is convergent …”
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Multigrid transfers for nonsymmetric systems based on Schur complements and Galerkin projections von 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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A hierarchical two-level multigrid solver von 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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Evaluation of the Capability of the Multigrid Method in Speeding Up the Convergence of Iterative Methods von 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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On Multigrid Methods for Solving Two-Dimensional Boundary-Value Problems von 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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Isoparametric multigrid method for reaction–diffusion equations on two-dimensional domains von Jung, M., Todorov, T.D.

“… To be able to apply multigrid methods a sequence of finite element triangulations is constructed, which gives a sequence of domains Ω k , k = 0 , 1 , … , ℓ …”
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Coarse-grid selection using simulated annealing von 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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Efficient isogeometric topology optimization via multi-GPUs and CPUs heterogeneous architecture von Han, Jinpeng, Zhang, Haobo, Gao, Baichuan, Yu, Jingui, Jin, Peng, Yang, Jianzhong, Xia, Zhaohui

“… Two efficient algebraic multigrid (AMG) methods are compared with the proposed parallel solution strategy, and the performance of parallel ITO scheme in this paper is evaluated with different computing configurations …”
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A p-multigrid compact gas-kinetic scheme for steady-state acceleration von 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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MGRIT-Based Multi-Level Parallel-in-Time Electromagnetic Transient Simulation von Strake, Julius, Döhring, Daniel, Benigni, Andrea

“… We evaluate the approach in the context of power electronics system-level simulation. While PinT approaches to power electronics simulations based on two-level algorithms …”
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