WEPINN enforces weak formulation and entropy condition with trigonometric test functions and fast Fourier transform integration, resolving shocks and rarefactions in conservation laws more accurately than Diff-PINN, VPINN, and WPINN in reported tests.
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Efficient Weak-Entropy PINN for Solving Hyperbolic Conservation Laws
WEPINN enforces weak formulation and entropy condition with trigonometric test functions and fast Fourier transform integration, resolving shocks and rarefactions in conservation laws more accurately than Diff-PINN, VPINN, and WPINN in reported tests.