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20182026
most citedExponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations

26 citations · 100 across the 15 of their papers we have counts for

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math.NA2022★ 11 cited

Exponential Convergence of hp FEM for the Integral Fractional Laplacian in Polygons

Markus Faustmann, Carlo Marcati, Jens Markus Melenk +1

We prove exponential convergence in the energy norm of finite element discretizations for the integral fractional diffusion operator of order subject to homogene…

math.NA2022★ 4 cited

Exponential convergence of hp-FEM for the integral fractional Laplacian in 1D

Markus Faustmann, Carlo Marcati, Jens Markus Melenk +1

We prove weighted analytic regularity for the solution of the integral fractional Poisson problem on bounded intervals with analytic right-hand side. Based on this regularity resul…