HP a-priori error estimates for a non-dissipative spectral discontinuous Galerkin method to solve the Maxwell equations in the time domain

DOI10.1090/S0025-5718-07-01991-6zbMath1128.65083MaRDI QIDQ3592678

Xavier Ferrieres, Sebastien Pernet

Publication date: 13 September 2007

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

discontinuous Galerkin methodMaxwell equationspectral convergence\(hp\)-versiona-priori estimation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) A priori estimates in context of PDEs (35B45) Theoretical approximation in context of PDEs (35A35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (4)

Higher-order finite elements for hybrid meshes using new nodal pyramidal elements ⋮ Dissipative terms and local time-stepping improvements in a spatial high order discontinuous Galerkin scheme for the time-domain Maxwell's equations ⋮ Influence of Gauss and Gauss‐Lobatto quadrature rules on the accuracy of a quadrilateral finite element method in the time domain ⋮ Improving accuracy of high-order discontinuous Galerkin method for time-domain electromagnetics on curvilinear domains

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