An improved operator expansion algorithm for direct and inverse scattering computations

Waves Random Media

Volumn 9, Issue 3, 1999, Pages 441-457

  Israeli, M ^d   Rokhlin, V ^c  

^a YALE UNIVERSITY   (United States)

^b YORK COLLEGE OF PENNSYLVANIA   (United States)

^c Yale University   (United States)

^d NONE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; DIFFERENTIATION (CALCULUS); INVERSE PROBLEMS; MATHEMATICAL OPERATORS; SURFACE PHENOMENA; SURFACE ROUGHNESS;

MILDER'S OPERATOR EXPANSION FORMALISM;

ACOUSTIC WAVE SCATTERING;

EID: 0032629728     PISSN: 09597174     EISSN: 13616676     Source Type: Journal    
DOI: 10.1088/0959-7174/9/3/311     Document Type: Article

References (18)

1. 2 pour les courbes Lipschitziennes Ann. Math. 116 361-87 (in French)
2. Coifman R R and Meyer Y 1986 Nonlinear Harmonic Analysis, Operator Theory, and PDE (Ann. Math. Stud. 112) (Princeton, NJ: Princeton University Press)
3. Colton D and Kress R 1983 Integral Equation Methods in Scattering Theory (New York et al: Wiley)
4. Colton D and Kress R 1998 Inverse Acoustic and Electromagnetic Scattering Theory 2nd edn (New York: Springer)
5. Dahlquist G and Björck A 1974 Numerical Methods (Englewood Cliffs, NJ: Prentice-Hall)
6. p for Laplace’s equation in Lipschitz domains Ann. Math. 125 437-66
7. 1 and Lipschitz domains Am. J. Math. 117 929-63
8. Kaczkowski P J and Thorsos E I 1994 Application of the operator expansion method to scattering from one dimensional moderately rough Dirichlet random surfaces J. Acoust. Soc. Am. 96 957-72
9. Kenig C E 1994 Harmonic Analysis Techniques for Second-Order Elliptic Boundary Value Problems (CBMS Regional Conference Series in Mathematics 83 (St Louis, 1991)) (Providence, RI: American Mathematical Society)
10. Kirsch A 1996 An Introduction to the Mathematical Theory of Inverse Problems (New York: Springer)
11. McIntosh A and Mitrea M 1996 Clifford algebras and Maxwell’s equations in Lipschitz domains Macquairie MathematicsReports No. 96/210
12. Milder D M 1991 An improvedformalismforwave scatteringfromrough surfaces J. Acoust. Soc. Am. 89 529-41
13. Milder D M 1996 Role of the admittance operator in rough-surface scattering J. Acoust. Soc. Am. 100 759-68
14. 3 and applications to electromagnetic scattering J. Fourier Anal. Appl. 3 131-92
15. Mitrea M 1995 The method of layer potentials in electromagnetic scattering theory on non-smooth domains DukeMath.J. 77 111-33
16. Sidi A and Israeli M 1988 Quadrature methods for periodic singular and weakly singular Fredholm integral equations J. Sci. Comput. 3 201-31
17. Verchota G 1984 Layer potentials and regularity forthe Dirichlet problem for Laplace’s equation J. Funct. Anal. 59 572-611
18. Voronovich A G 1999 Wave Scattering from Rough Surfaces 2nd edn (New York: Springer)