Interfacing finite elements with deep neural operators for fast multiscale modeling of mechanics problems

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

The finite element method. Linear static and dynamic finite element analysis

Thomas Zimmermann · Computer Methods in Applied Mechanics and Engineering · 1987 · 5.1K citations

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Smoothed Particle Hydrodynamics

J. J. Monaghan · Annual Review of Astronomy and Astrophysics · 1992 · 4.9K citations

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Dissipative particle dynamics: Bridging the gap between atomistic and mesoscopic simulation

Robert D. Groot, Patrick B. Warren · The Journal of Chemical Physics · 1997 · 4.5K citations

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Multi-level adaptive solutions to boundary-value problems

Achi Brandt · Mathematics of Computation · 1977 · 3.2K citations · Full text

Computing, Computational Engineering, Mathematics +17