A Data-Assisted Two-Stage Method for the Inverse Random Source Problem

Inverse Source Problems for the Stochastic Wave Equations: Far-Field Patterns

(2022) Jianliang Li et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

On an artificial neural network for inverse scattering problems

(2021) Yu Gao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Weak adversarial networks for high-dimensional partial differential equations

(2020) Yaohua Zang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An inverse random source problem for the one-dimensional Helmholtz equation with attenuation

(2020) Peijun Li et al.   INVERSE PROBLEMS

An Improved Deep Learning Scheme for Solving 2-D and 3-D Inverse Scattering Problems

(2020) Yulong Zhou et al.   IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION

Solving inverse problems using data-driven models

(2019) Simon Arridge et al.   ACTA NUMERICA

Bayesian deep convolutional encoder–decoder networks for surrogate modeling and uncertainty quantification

(2018) Yinhao Zhu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Inverse random source scattering for the Helmholtz equation in inhomogeneous media

(2017) Ming Li et al.   INVERSE PROBLEMS

Solving ill-posed inverse problems using iterative deep neural networks

(2017) Jonas Adler et al.   INVERSE PROBLEMS

Inverse acoustic scattering problem in half-space with anisotropic random impedance

(2017) Tapio Helin et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Stability on the inverse random source scattering problem for the one-dimensional Helmholtz equation

(2017) Peijun Li et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Inverse Random Source Scattering for Elastic Waves

(2017) Gang Bao et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Inverse Random Source Scattering Problems in Several Dimensions

(2016) Gang Bao et al.   SIAM-ASA Journal on Uncertainty Quantification

Inverse scattering problems with multi-frequencies

(2015) Gang Bao et al.   INVERSE PROBLEMS

Semi-convergence properties of Kaczmarz’s method

(2014) Tommy Elfving et al.   INVERSE PROBLEMS

New development in freefem++

(2013) F. Hecht   Journal of Numerical Mathematics

An inverse random source problem for the Helmholtz equation

(2013) Gang Bao et al.   MATHEMATICS OF COMPUTATION

Dynamic mode decomposition of numerical and experimental data

(2010) PETER J. SCHMID   JOURNAL OF FLUID MECHANICS

Wiener Chaos Expansion and Simulation of Electromagnetic Wave Propagation Excited by a Spatially Incoherent Source

(2010) Majid Badieirostami et al.   MULTISCALE MODELING & SIMULATION

Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities

(2009) Christophe Geuzaine et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Distilling Free-Form Natural Laws from Experimental Data

(2009) Michael Schmidt et al.   SCIENCE