Coupling of mapped wave infinite elements and plane wave basis finite elements for the Helmholtz equation in exterior domains

2003 ◽  
Vol 19 (10) ◽  
pp. 761-777 ◽  
Author(s):  
Rie Sugimoto ◽  
Peter Bettess
Keyword(s):  
Finite Elements ◽  
Plane Wave ◽  
Helmholtz Equation ◽  
Exterior Domains ◽  
Infinite Elements

Difference potentials for the Helmholtz equation in exterior domains

2000 ◽  
Vol 33 (1-4) ◽  
pp. 533-540 ◽  
Author(s):  
Victor S. Ryaben'kii ◽  
Ivan L. Sofronov
Keyword(s):  
Helmholtz Equation ◽  
Exterior Domains ◽  
Difference Potentials

Plane wave ℋ (curl; Ω) conforming finite elements for Maxwell's equations

2003 ◽  
Vol 31 (3) ◽  
pp. 272-283 ◽  
Author(s):  
P. D. Ledger ◽  
K. Morgan ◽  
O. Hassan ◽  
N. P. Weatherill
Keyword(s):  
Finite Elements ◽  
Plane Wave ◽  
Maxwell’S Equations ◽  
Maxwell's Equations

A REVIEW OF INFINITE ELEMENT METHODS FOR EXTERIOR HELMHOLTZ PROBLEMS

2000 ◽  
Vol 08 (01) ◽  
pp. 43-62 ◽  
Author(s):  
KLAUS GERDES
Keyword(s):  
Helmholtz Equation ◽  
Mathematical Framework ◽  
Exterior Domains ◽  
Research Papers ◽  
Infinite Element ◽  
Element Discretizations ◽  
Variational Formulations

This work is devoted to review infinite element discretizations for the Helmholtz equation in exterior domains, which have become popular in recent years, as many research papers on this topic have appeared in the literature. The early contributions were mostly motivated by engineering considerations and the variational formulations have, in general, not been stated in a mathematically precise way. Only recently, theoretical aspects of the infinite element methodology have been analyzed and helped to put the different formulations into a mathematical framework. We build upon this, and present and compare the infinite element formulations within this context.

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