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math.NA2025
Evaluating singular and near-singular integrals on smooth surfaces with quadratic geometric approximation and closed form expressions
Andrew Zheng, Spyros Alexakis, Adam R Stinchcombe
Most Fredholm integral equations involve integrals with weakly singular kernels. Once the domain of integration is discretized into flat triangular elements, these weakly singular…
math.NA2025
Walk-on-Interfaces: A Monte Carlo Estimator for an Elliptic Interface Problem with Nonhomogeneous Flux Jump Conditions and a Neumann Boundary Condition
Xinwen Ding, Adam R Stinchcombe
Elliptic interface problems arise in numerous scientific and engineering applications, modeling heterogeneous materials in which physical properties change discontinuously across i…