Numerical solution of the inverse problem for the wave equation
β Scribed by M. Yu. Abaturov; A. V. Baev
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 217 KB
- Volume
- 3
- Category
- Article
- ISSN
- 1046-283X
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π SIMILAR VOLUMES
The Cauchy problem for the wave equation, with an unknown source of the form q(t) (@G), is studied. Using control techniques, the generalized Clarke gradients, feedback laws are established, yielding q and the surface @G with given observed values of the solution on a portion of a ΓΏxed closed surfac
## Abstract Let __D__ β β^__n__^ be a bounded domain with piecewiseβsmooth boundary, and __q__(__x__,__t__) a smooth function on __D__ Γ [0, __T__]. Consider the timeβlike Cauchy problem magnified image magnified image Given __g__, __h__ for which the equation has a solution, we show how to approxi
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