Stability and superconvergence analysis of the FDTD scheme for the 2D Maxwell equations in a lossy medium (Q1934560)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Stability and superconvergence analysis of the FDTD scheme for the 2D Maxwell equations in a lossy medium |
scientific article; zbMATH DE number 6132166
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability and superconvergence analysis of the FDTD scheme for the 2D Maxwell equations in a lossy medium |
scientific article; zbMATH DE number 6132166 |
Statements
Stability and superconvergence analysis of the FDTD scheme for the 2D Maxwell equations in a lossy medium (English)
0 references
29 January 2013
0 references
The authors study stability and convergence of the finite difference time domain (FDTD) method for the 2D Maxwell equations in a lossy medium with perfectly electric conducting boundary conditions. They develop a new energy method to establish stability and optimal second-order error estimates in space and time in the discrete \(H^1\) norm for FDTD and its time difference scheme. Some numerical experiments consistent with the theoretical convergence results are also presented.
0 references
Maxwell equations
0 references
finite-difference time-domain method
0 references
stability
0 references
superconvergence
0 references
perfectly electric conducting boundary conditions
0 references
energy identities
0 references
0 references
0 references
0 references
0 references
0.96116483
0 references
0.9135628
0 references
0.91236424
0 references
0.88857234
0 references
0.88515526
0 references
0.88471174
0 references
0 references
0.87578964
0 references
0.87300086
0 references
