
An inverse acousticelastic interaction problem with phased or phaseless farfield data
Consider the scattering of a timeharmonic acoustic plane wave by a boun...
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A highly accurate boundary integral method for the elastic obstacle scattering problem
Consider the scattering of a timeharmonic plane wave by a rigid obstacl...
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A halfplane timedomain BEM for SHwave scattering by a subsurface inclusion
A direct timedomain numerical approach named the halfplane boundary el...
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The Nyström method for elastic wave scattering by unbounded rough surfaces
We consider the numerical algorithm for the twodimensional timeharmoni...
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A higher order perturbation approach for electromagnetic scattering problems on random domains
We consider timeharmonic electromagnetic scattering problems on perfect...
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RungeKutta approximation for C_0semigroups in the graph norm with applications to time domain boundary integral equations
We consider the approximation to an abstract evolution problem with inho...
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Recovering the distribution of fluorophore for FDOT using cuboid approximation
The timedomain fluorescence diffuse optical tomography (FDOT) is theore...
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Inverse obstacle scattering for elastic waves in the time domain
This paper concerns an inverse elastic scattering problem which is to determine a rigid obstacle from time domain scattered field data for a single incident plane wave. By using Helmholtz decomposition, we reduce the initialboundary value problem of the time domain Navier equation to a coupled initialboundary value problem of wave equations, and prove the uniqueness of the solution for the coupled problem by employing energy method. The retarded single layer potential is introduced to establish the coupled boundary integral equations, and the uniqueness is discussed for the solution of the coupled boundary integral equations. Based on the convolution quadrature method for time discretization, the coupled boundary integral equations are reformulated into a system of boundary integral equations in sdomain, and then a convolution quadrature based nonlinear integral equation method is proposed for the inverse problem. Numerical experiments are presented to show the feasibility and effectiveness of the proposed method.
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