Interior penalty discontinuous Galerkin method for magnetic induction equation with resistivity
DOI10.1016/j.amc.2017.07.018zbMath1426.78033OpenAlexW2743672113MaRDI QIDQ1740095
Publication date: 29 April 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2017.07.018
rate of convergenceerror analysisdiscontinuous Galerkin methodsmagnetic inductiondivergence constraint
PDEs in connection with optics and electromagnetic theory (35Q60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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- An integro-differential formulation for magnetic induction in bounded domains: Boundary element--finite volume method
- Finite-volume schemes for Friedrichs systems with involutions
- On the well-posedness of a linearized plasma-vacuum interface problem in ideal compressible MHD
- Interior penalty discontinuous Galerkin method for Maxwell's equations: energy norm error estimates
- Global existence and large-time behavior of solutions to the three-dimensional equations of compressible magnetohydrodynamic flows
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- A discontinuous Galerkin method for the viscous MHD equations
- Existence of solution for a density-dependent magnetohydrodynamic equation
- The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
- Stabilized discontinuous Galerkin scheme for the magnetic induction equation
- Interior penalty method for the indefinite time-harmonic Maxwell equations
- Higher order finite difference schemes for the magnetic induction equations
- 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
- Well-posedness of the linearized plasma-vacuum interface problem in ideal incompressible MHD
- Stable upwind schemes for the magnetic induction equation
- Interior penalty discontinuous Galerkin method for Maxwell's equations: optimal L2-norm error estimates
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- Vector potentials in three-dimensional non-smooth domains
- Nonlinear wave interactions for ideal MHD plasmas
- Convergence of locally divergence-free discontinuous-Galerkin methods for the induction equations of the 2D-MHD system
