## Abstract The integral equations arising from the Green's formula, applied to the twoβdimensional Helmholtz equation defined in a limited domain, are considered and the presence of instabilities in their numerical solution, when a real Green's function is adopted, is pointed out. A complete stud
β¦ LIBER β¦
An iterative approach to the numerical solution of the system of integral equations for boundary value problems for the scalar Helmholtz equation
β Scribed by S. L. Stavtsev
- Book ID
- 110158051
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 311 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0012-2661
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In this paper a procedure to solve the identiΓΏcation inverse problems for two-dimensional potential ΓΏelds is presented. The procedure relies on a boundary integral equation (BIE) for the variations of the potential, ux, and geometry. This equation is a linearization of the regular BIE for small chan