Variational Onsager Neural Networks (VONNs): A thermodynamics-based variational learning strategy for non-equilibrium PDEs

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Maziar Raissi, Paris Perdikaris, George Em Karniadakis · Journal of Computational Physics · 2018 · 16.9K citations · Full text

Natural Sciences, Computer Science, Physics +16

Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers

Stephen Boyd · Foundations and Trends® in Machine Learning · 2011 · 16K citations

Computing, Computer Science, Machine Learning +13

Reciprocal Relations in Irreversible Processes. I.

Lars Onsager · Physical Review · 1931 · 6.6K citations · Full text

Natural Sciences, Chemistry, Physics +17

A variational approach to the theory of the elastic behaviour of multiphase materials

Zvi Hashin, S. Shtrikman · Journal of the Mechanics and Physics of Solids · 1963 · 5.7K citations

Natural Sciences, Materials Science, Physics +12

Reciprocal Relations in Irreversible Processes. II.

Lars Onsager · Physical Review · 1931 · 5.3K citations · Full text

Natural Sciences, Physics, Heat Transfer +16