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Application of an offset mesh for the transient, explicit finite‐difference analysis of the perfectly conducting rectangular plate
Author(s) -
Riley Douglas J.,
Davis William A.
Publication year - 1985
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs020i005p01031
Subject(s) - offset (computer science) , finite difference method , discretization , finite difference , mathematics , finite element method , mathematical analysis , finite difference coefficient , transient (computer programming) , electric field integral equation , integral equation , physics , computer science , mixed finite element method , thermodynamics , programming language , operating system
In this paper an offset mesh is used for the transient finite‐difference analysis of the rectangular plate. An explicit, or time‐marching, finite‐difference approximation for the electric field integral equation is used. It is demonstrated that the offset mesh represents a more natural discretization for obtaining the current response of the plate than the standard (nonoffset) mesh typically used, but a stability criterion which differs from the one associated with the standard scheme is required. Results obtained from both the standard mesh and the offset mesh are compared, and the difference in the stability criterion required for each mesh is discussed.