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hp-VPINNs: Variational physics-informed neural networks with domain decomposition

Ehsan Kharazmi, Zhongqiang Zhang, George Em Karniadakis

2020Computer Methods in Applied Mechanics and Engineering731 citationsDOIOpen Access PDF

Topics & Concepts

Artificial neural networkFunction approximationDomain (mathematical analysis)PiecewiseProjection (relational algebra)Domain decomposition methodsNonlinear systemMathematicsSpace (punctuation)Applied mathematicsAlgorithmFunction spaceComputer scienceMathematical optimizationMathematical analysisArtificial intelligenceFinite element methodPhysicsOperating systemThermodynamicsQuantum mechanicsModel Reduction and Neural NetworksMagnetic Properties and ApplicationsFluid Dynamics and Turbulent Flows
hp-VPINNs: Variational physics-informed neural networks with domain decomposition | Litcius