most citedLeast-Squares ReLU Neural Network (LSNN) Method For Linear Advection-Reaction Equation

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math.NA2023

Deep Ritz Method with Adaptive Quadrature for Linear Elasticity

Min Liu, Zhiqiang Cai, Karthik Ramani

In this paper, we study the deep Ritz method for solving the linear elasticity equation from a numerical analysis perspective. A modified Ritz formulation using the …

math.NA2021★ 45 cited

Least-Squares ReLU Neural Network (LSNN) Method For Linear Advection-Reaction Equation

Zhiqiang Cai, Jingshuang Chen, Min Liu

This paper studies least-squares ReLU neural network method for solving the linear advection-reaction problem with discontinuous solution. The method is a discretization of an equi…