Back and forth error compensation and correction method for linear hyperbolic systems with application to the Maxwell's equations
DOI10.1016/j.jcpx.2019.100014arXiv1806.07485OpenAlexW2809054771MaRDI QIDQ6184049
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Publication date: 5 January 2024
Published in: Journal of Computational Physics: X (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.07485
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 difference methods applied to problems in optics and electromagnetic theory (78M20) First-order hyperbolic systems (35L40) Maxwell equations (35Q61)
Cites Work
- Overlapping Yee FDTD method on nonorthogonal grids
- An unconditionally stable MacCormack method
- Weighted essentially non-oscillatory schemes on triangular meshes
- On a finite-element method for solving the three-dimensional Maxwell equations
- A perfectly matched layer for the absorption of electromagnetic waves
- Back and forth error compensation and correction methods for removing errors induced by uneven gradients of the level set function
- Locally divergence-free discontinuous Galerkin methods for the Maxwell equations.
- Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell's equations
- Discontinuous Galerkin methods for dispersive and lossy Maxwell's equations and PML boundary conditions
- An analysis of and a comparison between the discontinuous Galerkin and the spectral finite volume methods
- On the stability of difference approximations to solutions of hyperbolic equations with variable coefficients
- Back and forth error compensation and correction methods for semi-lagrangian schemes with application to level set interface computations
- Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- A Convergence Analysis of Yee’s Scheme on Nonuniform Grids
- Finite Element Methods with Matching and Nonmatching Meshes for Maxwell Equations with Discontinuous Coefficients
- Time-discrete finite element schemes for Maxwell's equations
- Finite Element Approximation of Time Harmonic Waves in Periodic Structures
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