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Absorbing boundary conditions for the finite element solution of the vector wave equation
Author(s) -
Webb J. P.,
Kanellopoulos V. N.
Publication year - 1989
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.4650021010
Subject(s) - finite element method , mathematical analysis , boundary value problem , boundary (topology) , boundary knot method , mathematics , space (punctuation) , harmonic , boundary element method , physics , computer science , acoustics , thermodynamics , operating system
Time‐harmonic electromagnetic field problems in unbounded space may be solved by the finite element method applied inside a sphere which contains the region of interest, providing a suitable boundary condition is imposed on the surface of the sphere. The boundary condition must have the effect of absorbing out‐going waves. A new second‐order absorbing boundary condition (ABC) is proposed, similar to that introduced by Peterson [1], but capable of being incorporated in a variational principle and consequently leading to symmetric finite‐element matrices.