Stabilized discontinuous Galerkin scheme for the magnetic induction equation

DOI10.1016/j.apnum.2018.11.010zbMath1422.65266OpenAlexW2902410098MaRDI QIDQ1728333

Tanmay Sarkar, Praveen Chandrashekar

Publication date: 22 February 2019

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.11.010

zbMATH Keywords

rate of convergencediscontinuous Galerkin methodstability and error analysismagnetic induction equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) 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) Magnetohydrodynamics and electrohydrodynamics (76W05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (3)

A priori error analysis of a discontinuous Galerkin scheme for the magnetic induction equation ⋮ Optimal error estimates of an IPDG scheme for the resistive magnetic induction equation ⋮ Interior penalty discontinuous Galerkin method for magnetic induction equation with resistivity

Uses Software

• VisIt

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Arbitrary order exactly divergence-free central discontinuous Galerkin methods for ideal MHD equations
• Global small solutions of 2-D incompressible MHD system
• Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field
• Locally divergence-free discontinuous Galerkin methods for MHD equations
• Divergence-free MHD on unstructured meshes using high order finite volume schemes based on multidimensional Riemann solvers
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
• Interior penalty discontinuous Galerkin method for magnetic induction equation with resistivity
• Higher order finite difference schemes for the magnetic induction equations
• Viscous stabilization of discontinuous Galerkin solutions of hyperbolic conservation laws
• Entropy Stable Finite Volume Scheme for Ideal Compressible MHD on 2-D Cartesian Meshes
• Stability analysis and error estimates of an exactly divergence-free method for the magnetic induction equations
• Higher-order finite difference schemes for the magnetic induction equations with resistivity
• Some mathematical questions related to the mhd equations
• Stable upwind schemes for the magnetic induction equation
• Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws
• Constraint-Preserving Upwind Methods for Multidimensional Advection Equations
• CONVERGENCE OF THE DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD FOR HYPERBOLIC CONSERVATION LAWS
• Error Estimates for Finite Element Methods for Scalar Conservation Laws
• Convergence of locally divergence-free discontinuous-Galerkin methods for the induction equations of the 2D-MHD system

This page was built for publication: Stabilized discontinuous Galerkin scheme for the magnetic induction equation