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math.NA2025
Regularized boundary integral equation methods for open-arc scattering problems in thermoelasticity
Yixuan X. Kong, José Pinto, Tao Yin
This paper devotes to developing novel boundary integral equation (BIE) solvers for the problem of thermoelastic scattering by open-arcs with four different boundary conditions in…
math.NA2024
Reduced Basis Method for the Elastic Scattering by Multiple Shape-Parametric Open Arcs in Two Dimensions
Fernando Henríquez, José Pinto
We consider the elastic scattering problem by multiple disjoint arcs or \emph{cracks} in two spatial dimensions. A key aspect of our approach lies in the parametric description of…