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math.NA2024
Boundary Integral Formulations for Flexural Wave Scattering in Thin Plates
Peter Nekrasov, Zhaosen Su, Travis Askham +1
In this paper, we develop second kind integral formulations for flexural wave scattering problems involving the clamped, supported, and free plate boundary conditions. While the cl…
math.NA2024
Coordinate complexification for the Helmholtz equation with Dirichlet boundary conditions in a perturbed half-space
Charles L. Epstein, Leslie Greengard, Jeremy Hoskins +2
We present a new complexification scheme based on the classical double layer potential for the solution of the Helmholtz equation with Dirichlet boundary conditions in compactly pe…