A.O.Vatulyan, P.S.Uglich An inverse geometric problem for elastic-fluid layered medium |
Acoustic bulletin, Vol. 8 ¹ 4, (2005) |
| The paper deals with a plane problem on forced oscillations of ideal fluid. The ideal fluid is bounded at the top by the elastic layer with uneven undersurface. The solution of the inverse problem on reconstructing the undersurface shape by the character of the upper surface oscillations is developed. The three approaches are used to solve the direct problem: method of small parameter, method of boundary elements, and Born's approximation. Solving of the inverse problem is reduced to solving the Fredholm integral equation of the first kind with a smooth kernel. The results of the numerical experiment are presented. |
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KEY WORDS: a two-layer medium, uneven surface, inverse problem, shape recounstruction |
| TEXT LANGUAGE: Russian |