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math.NA2026
Domain derivative and shape reconstruction for an inverse backscattering problem for the wave equation
Roland Griesmaier, Marvin Knöller, Eliane Kummer
We consider an inverse backscattering problem for time-dependent acoustic waves with a compactly supported penetrable scattering obstacle in unbounded three-dimensional free space.…
math.NA2024
Nonuniqueness of lattice Boltzmann schemes derived from finite difference methods
Eliane Kummer, Stephan Simonis
Recently, the construction of finite difference schemes from lattice Boltzmann schemes has been rigorously analyzed [Bellotti et al. (2022), Numer. Math. 152, pp. 1-40]. It is thus…