Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell’s equations

DOI10.1090/mcom/3365zbMath1462.65144OpenAlexW2610915782MaRDI QIDQ4612563

Andreas Sturm, Marlis Hochbruck

Publication date: 31 January 2019

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

Full work available at URL: https://doi.org/10.1090/mcom/3365

zbMATH Keywords

error analysisMaxwell's equationstime integrationenergy techniqueslocally implicit methodsupwind fluxes discontinuous Galerkin finite elements

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical solutions to equations with linear operators (65J10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Electromagnetic theory (general) (78A25) Maxwell equations (35Q61)

Related Items (2)

Construction and convergence analysis of conservative second order local time discretisation for linear wave equations ⋮ Stabilized leapfrog based local time-stepping method for the wave equation

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