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Transmission line interpretation of the finite element mesh for a wave propagation problem
Author(s) -
Mason John L.,
Anderson William J.
Publication year - 1985
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620210909
Subject(s) - finite element method , mathematical analysis , transmission line , discretization , mixed finite element method , boundary value problem , reflection (computer programming) , node (physics) , mathematics , extended finite element method , telegrapher's equations , boundary knot method , wave propagation , geometry , boundary element method , physics , computer science , acoustics , optics , telecommunications , thermodynamics , programming language
A one‐dimensional exterior electromagnetic scattering problem is formulated using a differential equation approach followed by a finite element discretization. By interpreting the resulting linear algebraic equations as node voltage equations for a transmission line, a boundary element is obtained which satisfies the requirement of no wave reflection at the edge of the finite element region. Numerical results which show the elimination of non‐physical standing waves from the scattered field are presented and discussed.