Stability analysis and error estimates of an exactly divergence-free method for the magnetic induction equations

DOI10.1051/m2an/2015061zbMath1348.78028OpenAlexW2423973828MaRDI QIDQ2820339

He Yang, Fengyan Li

Publication date: 15 September 2016

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/a4da2c8898f833d71c109044cdcb4f4ba831d123

zbMATH Keywords

stabilityerror estimatesdiscontinuous Galerkindivergence-freeconstrained transportideal magnetohydrodynamic (MHD) equationsmagnetic induction equations

Mathematics Subject Classification ID

Related Items (12)

Optimal, globally constraint-preserving, \(\mathrm{DG(TD)}^2\) schemes for computational electrodynamics based on two-derivative Runge-Kutta timestepping and multidimensional generalized Riemann problem solvers -- a von Neumann stability analysis ⋮ Provably Positive Central Discontinuous Galerkin Schemes via Geometric Quasilinearization for Ideal MHD Equations ⋮ Globally divergence-free discontinuous Galerkin methods for ideal magnetohydrodynamic equations ⋮ A priori error analysis of a discontinuous Galerkin scheme for the magnetic induction equation ⋮ Von Neumann stability analysis of globally divergence-free RKDG schemes for the induction equation using multidimensional Riemann solvers ⋮ Optimal error estimates of an IPDG scheme for the resistive magnetic induction equation ⋮ Admissible states and physical-constraints-preserving schemes for relativistic magnetohydrodynamic equations ⋮ Stabilized discontinuous Galerkin scheme for the magnetic induction equation ⋮ Interior penalty discontinuous Galerkin method for magnetic induction equation with resistivity ⋮ A global divergence conforming DG method for hyperbolic conservation laws with divergence constraint ⋮ On physical-constraints-preserving schemes for special relativistic magnetohydrodynamics with a general equation of state ⋮ Von Neumann stability analysis of globally constraint-preserving DGTD and PNPM schemes for the Maxwell equations using multidimensional Riemann solvers

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