A mesh-free method using piecewise deep neural network for elliptic interface problems
Cuiyu He, Xiaozhe Hu, Lin Mu
Topics & Concepts
DiscretizationPiecewiseArtificial neural networkMathematical optimizationInterface (matter)Stochastic gradient descentAlgorithmMathematicsResidualSampling (signal processing)Function (biology)Mean squared errorNumerical analysisComputer scienceArtificial intelligenceMathematical analysisBubbleBiologyComputer visionEvolutionary biologyParallel computingFilter (signal processing)Maximum bubble pressure methodStatisticsAdvanced Numerical Methods in Computational MathematicsModel Reduction and Neural NetworksLattice Boltzmann Simulation Studies