Low-Order Preconditioning for the High-Order Finite Element de Rham Complex-Reference-Cited by-同舟云学术

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Low-Order Preconditioning for the High-Order Finite Element de Rham Complex

Published:2023-04-26 Issue:2 Volume:45 Page:A675-A702
ISSN:1064-8275
Container-title:SIAM Journal on Scientific Computing
language:en
Short-container-title:SIAM J. Sci. Comput.

Author:

Pazner Will¹²^ORCID,Kolev Tzanio²^ORCID,Dohrmann Clark R.³

Affiliation:

1. Fariborz Maseeh Department of Mathematics and Statistics, Portland State University, Portland, OR 97201, USA.

2. Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, Livermore CA 94550, USA.

3. Computational Solid Mechanics and Structural Dynamics, Sandia National Laboratories, Albuquerque, Tullahoma, TN 37388, USA.

Funder

Lawrence Livermore National Laboratory

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Computational Mathematics

Reference55 articles.

1. A Uniform Additive Schwarz Preconditioner for High-Order Discontinuous Galerkin Approximations of Elliptic Problems

2. An Interior Penalty Finite Element Method with Discontinuous Elements

3. Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

4. Differential Complexes and Stability of Finite Element Methods I. The de Rham Complex

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1. Preconditioned Nonsymmetric/Symmetric Discontinuous Galerkin Method for Elliptic Problem with Reconstructed Discontinuous Approximation;Journal of Scientific Computing;2024-08-06

2. Polynomial Interpolation of Function Averages on Interval Segments;SIAM Journal on Numerical Analysis;2024-07-25

3. High-performance finite elements with MFEM;The International Journal of High Performance Computing Applications;2024-06-14

4. Multigrid Solvers for the de Rham Complex with Optimal Complexity in Polynomial Degree;SIAM Journal on Scientific Computing;2024-05-07

5. Matrix-Free High-Performance Saddle-Point Solvers for High-Order Problems in \(\boldsymbol{H}(\operatorname{\textbf{div}})\);SIAM Journal on Scientific Computing;2024-05-02

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