Litcius/Paper detail

LT-PINN: Lagrangian topology-conscious physics-informed neural network for boundary-focused engineering optimization

Yuanye Zhou, Zhaokun Wang, Kai Zhou, Hui Tang, Xiaofan Li, Xiaofan Li

2025Computer Methods in Applied Mechanics and Engineering8 citationsDOI

Topics & Concepts

Topology (electrical circuits)Network topologyBoundary (topology)Interpolation (computer graphics)Robustness (evolution)Topology optimizationBoundary value problemMathematicsComputer scienceExtension topologyNeumann boundary conditionArtificial neural networkMathematical optimizationPartial differential equationGeneral topologyComputational topologyFunction (biology)Singular boundary methodApplied mathematicsMixed boundary conditionBoundary conditions in CFDInitial topologyDirichlet boundary conditionAlgorithmModel Reduction and Neural NetworksTopology Optimization in EngineeringAdvanced Multi-Objective Optimization Algorithms