Discontinuous Galerkin methods with time-operators in their numerical traces for time-dependent electromagnetics

DOI10.1515/cmam-2021-0215zbMath1497.65167OpenAlexW4280504609WikidataQ114053150 ScholiaQ114053150MaRDI QIDQ2093161

Bernardo Cockburn, Shukai Du, Manuel A. Sánchez

Publication date: 4 November 2022

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/cmam-2021-0215

zbMATH Keywords

discontinuous Galerkin methodsenergy-conserving methodstime-dependent Maxwell's equations

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (2)

Hybridizable discontinuous Galerkin methods for second-order elliptic problems: overview, a new result and open problems ⋮ Numerical analysis \& no regrets. Special issue dedicated to the memory of Francisco Javier Sayas (1968--2019)

Uses Software

• Algorithm 949

Cites Work

• Handbook of numerical methods for hyperbolic problems. Basic and fundamental issues
• High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics
• Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell's equations
• Symplectic Runge-Kutta and related methods: Recent results
• Dispersion analysis of HDG methods
• Stormer-Numerov HDG methods for acoustic waves
• HDG methods for elastodynamics
• Symplectic Hamiltonian HDG methods for wave propagation phenomena
• Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
• The pursuit of a dream, Francisco Javier Sayas and the HDG methods
• Optimal energy-conserving discontinuous Galerkin methods for linear symmetric hyperbolic systems
• Symplectic Hamiltonian finite element methods for linear elastodynamics
• An explicit hybridizable discontinuous Galerkin method for the acoustic wave equation
• Analysis of models for viscoelastic wave propagation
• Algorithm 949
• Uniform-in-time superconvergence of the HDG methods for the acoustic wave equation
• Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
• Variational Techniques for Elliptic Partial Differential Equations
• A Unified Error Analysis of Hybridizable Discontinuous Galerkin Methods for the Static Maxwell Equations

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