high-dimensional Poisson equation

The 'high-dimensional Poisson equation' dataset/benchmark consists of problems involving the Poisson equation in high-dimensional spaces, used to evaluate the effectiveness of physics-informed neural networks (PINNs) and adaptive sampling methods in capturing sharp solutions.

Papers using high-dimensional Poisson equation (3)

PINNsFailureRegion Localization and Refinement through White-box AdversarialAttack2023 · 1 citesBinary structured physics-informed neural networks for solving equations with rapidly changing solutions2024 · 11 citesPhysics-informed neural networks with residual/gradient-based adaptive sampling methods for solving PDEs with sharp solutions2023 · 5 cites