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A two‐grid SA‐AMG convergence bound that improves when increasing the polynomial degree

  • Published:2016-06-14 Issue:4 Volume:23 Page:746-771
  • ISSN:1070-5325
  • Container-title:Numerical Linear Algebra with Applications
  • language:en
  • Short-container-title:Numer. Linear Algebra Appl.

Author:

Hu Xiaozhe1,Vassilevski Panayot S.2,Xu Jinchao3

Affiliation:

1. Department of Mathematics Tufts University Medford 02155 MA USA

2. Center for Applied Scientific Computing Lawrence Livermore National Laboratory Livermore 94551 CA USA

3. Department of Mathematics The Pennsylvania State University University Park 16802 PA USA

Funder

National Science Foundation

Publisher

Wiley

Subject

Applied Mathematics,Algebra and Number Theory

Reference17 articles.

1. Domain decomposition preconditioner for multiscale flows in high‐contrast media;Galvis J;Multiscale Modeling and Simulation,2010

2. Weak Approximation Properties of Elliptic Projections with Functional Constraints

3. Smoothed Aggregation Spectral Element Agglomeration AMG: SA-ρAMGe

4. Spectral AMGe ($\rho$AMGe)

5. Spectral Element Agglomerate AMGe

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2. HAZniCS – Software Components for Multiphysics Problems;ACM Transactions on Mathematical Software;2023-12-15

3. A new estimate for a quantity involving the Chebyshev polynomials of the first kind;Journal of Mathematical Analysis and Applications;2019-08

4. Modifying AMG Coarse Spaces with Weak Approximation Property to Exhibit Approximation in Energy Norm;SIAM Journal on Matrix Analysis and Applications;2019-01

5. A Nonlinear Algebraic Multigrid Framework for the Power Flow Equations;SIAM Journal on Scientific Computing;2018-01
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