6 citations · 25 across the 20 of their papers we have counts for
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Convergence of layer potentials and Riemann-Hilbert problem on extension domains
Gabriel Claret, Anna Rozanova-Pierrat, Alexander Teplyaev
We prove the convergence of layer potential operators for the harmonic transmission problem over a sequence of converging two-sided extension domains. Consequently, the Neumann-Poi…
Frequency range non-Lipschitz parametric optimization of a noise absorption
Frederic Magoules, Mathieu Menoux, Anna Rozanova-Pierrat
In the framework of the optimal wave energy absorption, we solve theoretically and numerically a parametric shape optimization problem to find the optimal distribution of absorbing…
Layer potential operators for transmission problems on extension domains
Gabriel Claret, Michael Hinz, Anna Rozanova-Pierrat +1
We use the well-posedness of transmission problems on classes of two-sided Sobolev extension domains to give variational definitions for (boundary) layer potential operators and Ne…