Title :
On the stability of the FDTD algorithm for elastic media at a material interface
Author :
Schröder, Christoph T. ; Scott, Waymond R., Jr.
Author_Institution :
Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
fDate :
2/1/2002 12:00:00 AM
Abstract :
In this paper, the stability behavior of the first-order finite-difference time-domain algorithm for elastodynamics at the interface between two different materials is investigated. A necessary condition for stability is established, which, dependent on the material properties of the two media, might be more restrictive than the well-known Courant condition. It is shown that this more restrictive stability condition can be avoided if the material properties are averaged on the boundary
Keywords :
elasticity; finite difference time-domain analysis; numerical stability; FDTD algorithm; elastic media; first-order finite-difference time-domain algorithm; material interface; necessary condition; stability; Algorithm design and analysis; Difference equations; Differential equations; Elastodynamics; Finite difference methods; Material properties; Partial differential equations; Space technology; Stability analysis; Time domain analysis;
Journal_Title :
Geoscience and Remote Sensing, IEEE Transactions on
