Solving an inverse obstacle problem for the wave equation by using the boundary control method. (English) Zbl 1302.65217
Summary: We introduced in [Commun. Partial Differ. Equations 38, No. 7-9, 1492–1518 (2013; Zbl 1274.35420)] a method to locate discontinuities of a wave speed in dimension 2 from acoustic boundary measurements modeled by the hyperbolic Neumann-to-Dirichlet operator. Here we extend the method for sound hard obstacles in arbitrary dimension. We present numerical experiments with simulated noisy data suggesting that the method is robust against measurement noise.
MSC:
65M32 | Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs |
74J25 | Inverse problems for waves in solid mechanics |
35R30 | Inverse problems for PDEs |
35Q74 | PDEs in connection with mechanics of deformable solids |