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08/09/2023
Finite Element Operator Network for Solving Parametric PDEs
Partial differential equations (PDEs) underlie our understanding and pre...
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11/16/2022
Convergence analysis of unsupervised Legendre-Galerkin neural networks for linear second-order elliptic PDEs
In this paper, we perform the convergence analysis of unsupervised Legen...
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10/27/2022
Quasi-Monte Carlo finite element approximation of the Navier-Stokes equations with initial data modeled by log-normal random fields
In this paper, we analyze the numerical approximation of the Navier-Stok...
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09/19/2022