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math.NA2018
Asymptotic approximations for the close evaluation of double-layer potentials
Camille Carvalho, Shilpa Khatri, Arnold D. Kim
When using the boundary integral equation method to solve a boundary value problem, the evaluation of the solution near the boundary is challenging to compute because the layer pot…
math.NA2018
Close evaluation of layer potentials in three dimensions
S. Khatri, A. D. Kim, Ricado Cortez +1
We present a simple and effective method for evaluating double-and single-layer potentials for Laplace's equation in three dimensions close to the boundary. The close evaluation of…