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The Discontinuous Galerkin Approximation of the Grad-Div and Curl-Curl Operators in First-Order Form Is Involution-Preserving and Spectrally Correct

Journal Article · · SIAM Journal on Numerical Analysis
DOI:https://doi.org/10.1137/23m1555235· OSTI ID:2424288
 [1];  [2]
  1. CERMICS, École des Ponts, 77455 Marne-la-Vallee Cedex 2, France, and INRIA Paris, 75589 Paris, France.
  2. Department of Mathematics, Texas A&M University 3368 TAMU, College Station, TX 77843 USA.
+ Show Author Affiliations
Not provided.
Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE
DOE Contract Number:
AC52-07NA27344
OSTI ID:
2424288
Journal Information:
SIAM Journal on Numerical Analysis, Journal Name: SIAM Journal on Numerical Analysis Journal Issue: 6 Vol. 61; ISSN 0036-1429
Publisher:
Society for Industrial and Applied Mathematics (SIAM)
Country of Publication:
United States
Language:
English

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A Spurious-Free Discontinuous Galerkin Time-Domain Method for the Accurate Modeling of Microwave Filters journal August 2012
High–order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem
  • Hesthaven, J. S.; Warburton, T.
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journal January 2004
Finite element quasi-interpolation and best approximation journal July 2017
Discrete compactness and the approximation of Maxwell's equations in $\mathbb{R}^3$ journal February 2000
Discontinuous Galerkin Approximation of the Maxwell Eigenproblem journal January 2006
Interior penalty method for the indefinite time-harmonic Maxwell equations journal March 2005
On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form journal February 1999
Rate of convergence estimates for nonselfadjoint eigenvalue approximations journal January 1973
Smoothed projections in finite element exterior calculus journal December 2007
Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory journal January 2006
Spectral approximation for compact operators journal September 1975
Nodal High-Order Methods on Unstructured Grids journal September 2002
Finite Element Methods for Maxwell's Equations book January 2003
Discontinuous Galerkin approximation of the Laplace eigenproblem journal May 2006
Vector potentials in three-dimensional non-smooth domains journal June 1998
Magnetostatic and Electrostatic Problems in Inhomogeneous Anisotropic Media with Irregular Boundary and Mixed Boundary Conditions journal November 1997
Gauss-compatible Galerkin schemes for time-dependent Maxwell equations journal February 2016

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Related Subjects

Mathematics