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Finite element formulations for exterior problems: application to hybrid methods, non‐reflecting boundary conditions, and infinite elements
Author(s) -
Harari Isaac,
Barbone Paul E.,
Montgomery Joshua M.
Publication year - 1997
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/(sici)1097-0207(19970815)40:15<2791::aid-nme191>3.0.co;2-w
Subject(s) - discretization , finite element method , computation , boundary (topology) , boundary element method , domain (mathematical analysis) , boundary value problem , mathematics , feature (linguistics) , element (criminal law) , mathematical analysis , computer science , calculus (dental) , algorithm , engineering , structural engineering , medicine , linguistics , philosophy , dentistry , political science , law
We develop formulations for finite element computation of exterior acoustics problems. A prominent feature of the formulations is the lack of integration over the unbounded domain, simplifying the task of discretization and potentially leading to numerous additional benefits. These formulations provide a suitable basis for hybrid asymptotic‐numerical methods in scattering, non‐reflecting boundary conditions and infinite elements. © 1997 John Wiley & Sons, Ltd.