Gradient-enhanced physics-informed neural networks for forward and inverse PDE problems
Jeremy Yu, Lu Lu, Xuhui Meng, George Em Karniadakis
Topics & Concepts
ResidualArtificial neural networkLeverage (statistics)Inverse problemPartial differential equationApplied mathematicsInverseComputer scienceMethod of mean weighted residualsMathematical optimizationFunction (biology)AlgorithmArtificial intelligenceMathematicsFinite element methodMathematical analysisPhysicsGeometryThermodynamicsBiologyEvolutionary biologyGalerkin methodModel Reduction and Neural NetworksMagnetic Properties and ApplicationsFluid Dynamics and Turbulent Flows