A trial solution for imposing boundary conditions of partial differential equations in physics-informed neural networks
Seyedalborz Manavi, Ehsan Fattahi, Thomas Becker
Topics & Concepts
Artificial neural networkBenchmark (surveying)Computer scienceHelmholtz equationFunction (biology)Applied mathematicsBoundary (topology)Error functionReduction (mathematics)Convergence (economics)Approximation errorPartial differential equationBoundary value problemHelmholtz free energyAlgorithmArtificial intelligenceMathematicsPhysicsMathematical analysisEconomic growthEconomicsQuantum mechanicsGeodesyBiologyGeographyGeometryEvolutionary biologyModel Reduction and Neural NetworksNuclear Engineering Thermal-HydraulicsFluid Dynamics and Turbulent Flows