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Deep least-squares methods: An unsupervised learning-based numerical method for solving elliptic PDEs

Zhiqiang Cai, Jingshuang Chen, Min Liu, Xinyu Liu

2020Journal of Computational Physics99 citationsDOIOpen Access PDF

Topics & Concepts

Partial differential equationElliptic partial differential equationApplied mathematicsMathematicsScalar (mathematics)Artificial neural networkNumerical analysisElliptic curveDimension (graph theory)Least-squares function approximationAlgorithmComputer scienceMathematical analysisArtificial intelligenceGeometryPure mathematicsEstimatorStatisticsModel Reduction and Neural NetworksImage and Signal Denoising MethodsAdvanced Numerical Methods in Computational Mathematics
Deep least-squares methods: An unsupervised learning-based numerical method for solving elliptic PDEs | Litcius