Optimal penalty parameters for symmetric discontinuous Galerkin discretisations of the time-harmonic Maxwell equations

DOI10.1007/s10915-010-9366-1zbMath1203.78046OpenAlexW2145286854MaRDI QIDQ618590

Ferenc Izsák, J. J. W. van der Vegt, Domokos Sármány

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-010-9366-1

zbMATH Keywords

Maxwell equations\(H(curl)\)-conforming vector elementsoptimal parameter estimatessymmetric discontinuous Galerkin methods

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10)

Related Items (7)

Maxwell’s equations for conductors with impedance boundary conditions: Discontinuous Galerkin and Reduced Basis Methods ⋮ An exact model for free vibration of structures coupled by arbitrarily shaped plates ⋮ Discontinuous Galerkin approximations for computing electromagnetic Bloch modes in photonic crystals ⋮ Energy norm error estimates for averaged discontinuous Galerkin methods: multidimensional case ⋮ Approximation of PDE eigenvalue problems involving parameter dependent matrices ⋮ A unified Chebyshev-Ritz formulation for vibration analysis of composite laminated deep open shells with arbitrary boundary conditions ⋮ Optimal penalty parameter for \(C^0\) IPDG

Uses Software

• PETSc
• hpGEM

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