January 01, 2024 preprint Open access Integration of Physics-Informed Operator Learning and Finite Element Method for Parametric Learning of Partial Differential Equations SSRN Electronic Journal DOI: 10.2139/ssrn.4684208 Full text (OA) OpenAlex Authors 0 Author list not loaded yet. Cited by 1 stored of 5 Search Sort Most cited Newest Oldest Patent citations Title Any typearticle review book-chapter conference-paper preprint dissertation book dataset other Any fieldAgricultural and Biological Sciences Arts and Humanities Biochemistry, Genetics and Molecular Biology Business, Management and Accounting Chemical Engineering Chemistry Computer Science Decision Sciences Dentistry Earth and Planetary Sciences Economics, Econometrics and Finance Energy Engineering Environmental Science Health Professions Immunology and Microbiology Materials Science Mathematics Medicine Neuroscience Nursing Pharmacology, Toxicology and Pharmaceutics Physics and Astronomy Psychology Social Sciences Veterinary Open access A Finite Operator Learning Technique for Mapping the Elastic Properties of Microstructures to Their Mechanical Deformations 2024 International Journal for Numerical Methods in Engineering article Physics and Astronomy Model Reduction and Neural Networks Open access 27 citations 1 result References 7 Search Sort Most cited Newest Oldest Patent citations Title Any typearticle review book-chapter conference-paper preprint dissertation book dataset other Any fieldAgricultural and Biological Sciences Arts and Humanities Biochemistry, Genetics and Molecular Biology Business, Management and Accounting Chemical Engineering Chemistry Computer Science Decision Sciences Dentistry Earth and Planetary Sciences Economics, Econometrics and Finance Energy Engineering Environmental Science Health Professions Immunology and Microbiology Materials Science Mathematics Medicine Neuroscience Nursing Pharmacology, Toxicology and Pharmaceutics Physics and Astronomy Psychology Social Sciences Veterinary Open access A mixed formulation for physics-informed neural networks as a potential solver for engineering problems in heterogeneous domains: comparison with finite element method 2022 arXiv (Cornell University) preprint Physics and Astronomy Model Reduction and Neural Networks Open access 216 citations The Concept of Digital Twin and Digital Shadow in Manufacturing 2021 Procedia CIRP article Engineering Digital Transformation in Industry Open access 210 citations Mixed formulation of physics‐informed neural networks for thermo‐mechanically coupled systems and heterogeneous domains 2023 International Journal for Numerical Methods in Engineering article Physics and Astronomy Model Reduction and Neural Networks Open access 98 citations Application of artificial neural networks for the prediction of interface mechanics: a study on grain boundary constitutive behavior 2020 Advanced Modeling and Simulation in Engineering Sciences article Materials Science Microstructure and mechanical properties Open access 74 citations Theory-training deep neural networks for an alloy solidification benchmark problem 2020 Computational Materials Science article Physics and Astronomy Model Reduction and Neural Networks 39 citations On the order of derivation in the training of physics-informed neural networks: case studies for non-uniform beam structures 2023 Acta Mechanica article Physics and Astronomy Model Reduction and Neural Networks 25 citations A mixed formulation for physics-informed neural networks as a potential solver for engineering problems in heterogeneous domains: Comparison with finite element method 2022 Computer Methods in Applied Mechanics and Engineering article Physics and Astronomy Model Reduction and Neural Networks Open access 12 citations 7 results