On energy preserving consistent boundary conditions for the Yee scheme in 2D
DOI10.1007/S10543-012-0376-2zbMath1257.78021OpenAlexW2105983571MaRDI QIDQ1759578
Olof Runborg, Jon Häggblad, Björn Engquist
Publication date: 21 November 2012
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10543-012-0376-2
energy conservationstaggered gridscomputational electromagneticsCourant-Friedrichs-Lewy (CFL) conditionsYee schemefinite-difference time-domain (FDTD) methodstaircase approximation
Wave equation (35L05) 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) Finite difference methods for boundary value problems involving PDEs (65N06)
Related Items (2)
Cites Work
- Unnamed Item
- Application of Dey-Mittra conformal boundary algorithm to 3D electromagnetic modeling
- A new type of boundary treatment for wave propagation
- Consistent boundary conditions for the Yee scheme
- Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
- Boundary procedures for summation-by-parts operators
- Regularization techniques for numerical approximation of PDEs with singularities
- Finite volume methods, unstructured meshes and strict stability for hyperbolic problems
- High-order compact-difference schemes for time-dependent Maxwell equations
- Progress in computational physics
- Numerical approximations of singular source terms in differential equations
- Stable FEM-FDTD hybrid method for Maxwell's equations
- Conformal FDTD-methods to avoid time step reduction with and without cell enlargement
- Regularization for accurate numerical wave propagation in discontinuous media
- Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
- Stability of Finite-Difference Models Containing Two Boundaries or Interfaces
- Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
- The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems
- Toward the construction of a fourth-order difference scheme for transient EM wave simulation: staggered grid approach
- On the Superconvergence of Galerkin Methods for Hyperbolic IBVP
- A uniformly stable conformal FDTD-method in Cartesian grids
- High Order Difference Methods for Time Dependent PDE
- Convergent Cartesian grid methods for Maxwell's equations in complex geometries.
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