Learning and correcting non-Gaussian model errors

On Learned Operator Correction in Inverse Problems

(2021) Sebastian Lunz et al.   SIAM Journal on Imaging Sciences

Discovering Physical Concepts with Neural Networks

(2020) Raban Iten et al.   PHYSICAL REVIEW LETTERS

Networks for Nonlinear Diffusion Problems in Imaging

(2019) S. Arridge et al.   JOURNAL OF MATHEMATICAL IMAGING AND VISION

Less is often more: Applied inverse problems using hp-forward models

(2019) Danny Smyl et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Hidden physics models: Machine learning of nonlinear partial differential equations

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

Convergence rates and structure of solutions of inverse problems with imperfect forward models

(2018) Martin Burger et al.   INVERSE PROBLEMS

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

Solving ill-posed inverse problems using iterative deep neural networks

(2017) Jonas Adler et al.   INVERSE PROBLEMS

An arbitrary strains carbon nanotube composite piezoresistivity model for finite element integration

(2013) T. Tallman et al.   APPLIED PHYSICS LETTERS

Gradient elasticity in statics and dynamics: An overview of formulations, length scale identification procedures, finite element implementations and new results

(2011) Harm Askes et al.   INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

Compensation of Modelling Errors Due to Unknown Domain Boundary in Electrical Impedance Tomography

(2010) A Nissinen et al.   IEEE TRANSACTIONS ON MEDICAL IMAGING

Poro-Viscoelastic Behavior of Gelatin Hydrogels Under Compression-Implications for Bioelasticity Imaging

(2009) Sureshkumar Kalyanam   JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME

The use of Timoshenko's exact solution for a cantilever beam in adaptive analysis

(2008) Charles E. Augarde et al.   FINITE ELEMENTS IN ANALYSIS AND DESIGN