Physics-informed neural networks for solving nonlinear diffusivity and Biot’s equations

Enriched Galerkin finite elements for coupled poromechanics with local mass conservation

(2018) Jinhyun Choo et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Lowest-Order Weak Galerkin Finite Element Method for Darcy Flow on Convex Polygonal Meshes

(2018) Jiangguo Liu et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Application of deep learning method to Reynolds stress models of channel flow based on reduced-order modeling of DNS data

(2018) Zhen Zhang et al.   Journal of Hydrodynamics

Multiscale finite volume method for finite-volume-based simulation of poroelasticity

(2018) Irina Sokolova et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

(2018) M. Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Model identification of reduced order fluid dynamics systems using deep learning

(2017) Z. Wang et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Inferring solutions of differential equations using noisy multi-fidelity data

(2017) Maziar Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Physics-informed machine learning approach for reconstructing Reynolds stress modeling discrepancies based on DNS data

(2017) Jian-Xun Wang et al.   Physical Review Fluids

Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model

(2016) Sanghyun Lee et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Were the May 2012 Emilia-Romagna earthquakes induced? A coupled flow-geomechanics modeling assessment

(2016) R. Juanes et al.   GEOPHYSICAL RESEARCH LETTERS

Quantifying and reducing model-form uncertainties in Reynolds-averaged Navier–Stokes simulations: A data-driven, physics-informed Bayesian approach

(2016) H. Xiao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

The impact of in-situ stress and outcrop-based fracture geometry on hydraulic aperture and upscaled permeability in fractured reservoirs

(2016) Kevin Bisdom et al.   TECTONOPHYSICS

Effect of Solvent Diffusion on Crack-Tip Fields and Driving Force for Fracture of Hydrogels

(2015) Nikolaos Bouklas et al.   JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME

A nonlinear, transient finite element method for coupled solvent diffusion and large deformation of hydrogels

(2015) Nikolaos Bouklas et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

Deep learning

(2015) Yann LeCun et al.   NATURE

Predicting the sequence specificities of DNA- and RNA-binding proteins by deep learning

(2015) Babak Alipanahi et al.   NATURE BIOTECHNOLOGY

Cell-centered finite volume discretizations for deformable porous media

(2014) Jan Martin Nordbotten   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Coupling multipoint flux mixed finite element methodswith continuous Galerkin methods for poroelasticity

(2013) Mary Wheeler et al.   COMPUTATIONAL GEOSCIENCES

A new locally conservative numerical method for two-phase flow in heterogeneous poroelastic media

(2012) Marcio A. Murad et al.   COMPUTERS AND GEOTECHNICS

Reactive dispersive contaminant transport in coastal aquifers: Numerical simulation of a reactive Henry problem

(2012) H.M. Nick et al.   JOURNAL OF CONTAMINANT HYDROLOGY

On the causes of pressure oscillations in low-permeable and low-compressible porous media

(2011) Joachim Berdal Haga et al.   INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS

Finite-difference modeling of Biot’s poroelastic equations across all frequencies

(2010) Y. J. Masson et al.   GEOPHYSICS

On a coupled discontinuous/continuous Galerkin framework and an adaptive penalty scheme for poroelasticity problems

(2009) R. Liu et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Finite-difference modeling of wave propagation and diffusion in poroelastic media

(2009) Fabian Wenzlau et al.   GEOPHYSICS