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math.NA2022★ 6 cited
A Hausdorff-measure boundary element method for acoustic scattering by fractal screens
António M. Caetano, Simon N. Chandler-Wilde, Andrew Gibbs +2
Sound-soft fractal screens can scatter acoustic waves even when they have zero surface measure. To solve such scattering problems we make what appears to be the first application o…
math.NA2022
Coercive second-kind boundary integral equations for the Laplace Dirichlet problem on Lipschitz domains
Simon N. Chandler-Wilde, Euan A. Spence
We present new second-kind integral-equation formulations of the interior and exterior Dirichlet problems for Laplace's equation. The operators in these formulations are both conti…