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Wang, Shixi; Bi, Hai; Li, Yanjun; Yang, Yidu

The finite element method for modified transmission eigenvalues for inverse scattering in a fluid-solid interaction problem. (English) Zbl 07727139

Appl. Math. Lett. 145, Article ID 108771, 10 p. (2023).
Summary: Based on the work of Monk and Selgas (2022), we explore the finite element method for the modified transmission eigenvalues for inverse scattering in a fluid-solid interaction problem. Under minimal regularity on the solution, we give a complete error analysis including the a priori and the a posteriori error estimates. We also present adaptive computations.

MSC:

65Nxx Numerical methods for partial differential equations, boundary value problems
35Jxx Elliptic equations and elliptic systems
35Pxx Spectral theory and eigenvalue problems for partial differential equations

Keywords:

transmission eigenvalues; inverse scattering; fluid-solid interaction; finite element method; error estimates; adaptive computations

Software:

scikit-fem
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Full Text: DOI
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References:

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