most citedPhysics-informed Neural Networks for Elliptic Partial Differential Equations on 3D Manifolds

1 citations · 1 across the 1 of their papers we have counts for

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2 papers

math.NA2021★ 1 cited

Physics-informed Neural Networks for Elliptic Partial Differential Equations on 3D Manifolds

Zhuochao Tang, Zhuojia Fu

Motivated by recent research on Physics-Informed Neural Networks (PINNs), we make the first attempt to introduce the PINNs for numerical simulation of the elliptic Partial Differen…

math.NA2019

Quadrature by Two Expansions: Evaluating Laplace Layer Potentials using Complex Polynomial and Plane Wave Expansions

Lingyun Ding, Jingfang Huang, Jeremy L. Marzuola

The recently developed quadrature by expansion (QBX) technique accurately evaluates the layer potentials with singular, weakly or nearly singular, or even hyper singular kernels in…