Lars Mönch 1996 Inverse Problems 12 309 doi:10.1088/0266-5611/12/3/010
Lars Mönch
Show affiliationsWe present a Newton method for solving the ill-posed and nonlinear inverse scattering problem. For its foundation we establish the Fréchet differentiability of the far-field operator with respect to the boundary and show that the Fréchet derivative can be obtained as the solution of a hypersingular integral equation. In order to derive the right-hand sides of this integral equation we use a quadrature method. We describe the numerical solution method and give some numerical results.
02.60.Lj Ordinary and partial differential equations; boundary value problems
65Rxx Integral equations, integral transforms
35R30 Inverse problems (undetermined coefficients, etc.) for PDE
Issue 3 (June 1996)
Received 18 January 1996
Lars Mönch 1996 Inverse Problems 12 309
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