Datasets › Poisson Equation

Poisson Equation (Poisson Equation with unstructured grid)

Introduced by Zhihao LI et al. in Harnessing Scale and Physics: A Multi-Graph Neural Operator Framework for PDEs on Arbitrary Geometries18 Nov 2024 archive 2025-07-28

\subsection{Poisson Equation} The Poisson equation with Dirichlet boundary conditions is studied: -Δu = f, in Ω= [0,1]², u = 0, on ∂Ω, where f consists of a Gaussian superposition, with parameters μ_(x,i), μ_(y,i) ∼U(0,1) and σᵢ ∼U(0.025, 0.1). The dataset includes 4000 training, 500 validation, and 500 test samples.

Benchmarks archive 2025-07-28

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Papers archive 2025-07-28

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Dataset loaders archive 2025-07-28

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Variants archive 2025-07-28

  • Poisson Equation

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