On the construction of approximate boundary conditions for Solving the interior problem of the acoustic scattering transmission problem

Lecture Notes in Computational Science and Engineering

Volumn 40, Issue , 2005, Pages 133-140

  Antoine, X ^a   Barucq, H ^b  

^a INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

^b UNIVERSITÉ DE PAU ET DES PAYS DE L'ADOUR   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC FIELD MEASUREMENT; ACOUSTIC IMPEDANCE; BOUNDARY CONDITIONS; DOMAIN DECOMPOSITION METHODS; ITERATIVE METHODS; LINEAR SYSTEMS; NUMERICAL METHODS;

ACOUSTIC SCATTERING; ACOUSTIC SCATTERING PROBLEM; APPROXIMATE BOUNDARY CONDITION; ASYMPTOTIC EXPANSION; DISSIPATIVE MEDIUM; FINITE ELEMENT SOLVER; GENERALIZED IMPEDANCE BOUNDARY CONDITIONS; TRANSMISSION PROBLEM;

ACOUSTIC WAVE SCATTERING;

EID: 26844539532     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/3-540-26825-1_9     Document Type: Article

References (6)

1. X. Antoine. Fast approximate computation of a time-harmonic scattered field using the on-surface radiation condition method. IMA J. Appl. Math., pages 83-110, 2001.
2. X. Antoine, H. Barucq, and L. Vernhet. High-frequency asymptotic analysis of a dissipative transmission problem resulting in generalized impedance boundary conditions. Asympt. Anal., 26(3-4):257-283, 2001.
3. F. Milinazzo, C. Zala, and G. Brooke. Rational square-root approximations for parabolic equation algorithms. J. Acoust. Soc. Am., 101(2):760-766, 1997.
4. T. Senior and J. Volakis. Approximate Boundary Conditions in Electromagnetics. IEE Electromagnetic Waves Series, Serie 41, London, 1995.
5. R. Tezaur, A. Macedo, C. Farhat, and R. Djellouli. Three-dimensional finite element calculations in acoustic scattering using arbitrarily shaped convex artificial boundaries. J. Numer. Methods Engrg., pages 1461-1476, 2002.
6. F. Treves. Introduction to Pseudodifferential Operators and Fourier Integral Operators. Plenum Press, New York and London, 1980.