Improvement of generalized finite difference method for stochastic subsurface flow modeling

Method of distributions for quantification of geologic uncertainty in flow simulations

(2020) Hyung Jun Yang et al.   WATER RESOURCES RESEARCH

The generalized finite difference method for long-time dynamic modeling of three-dimensional coupled thermoelasticity problems

(2019) Yan Gu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Probabilistic Forecast of Single‐Phase Flow in Porous Media With Uncertain Properties

(2019) Hyung Jun Yang et al.   WATER RESOURCES RESEARCH

Coupled thermoelastic analysis of an FG multilayer graphene platelets-reinforced nanocomposite cylinder using meshless GFD method: A modified micromechanical model

(2018) Seyed Mahmoud Hosseini et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

The generalized finite difference method for an inverse time-dependent source problem associated with three-dimensional heat equation

(2018) Yan Gu et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Solving Elliptical Equations in 3D by Means of an Adaptive Refinement in Generalized Finite Differences

(2018) Luis Gavete et al.   MATHEMATICAL PROBLEMS IN ENGINEERING

A combined scheme of generalized finite difference method and Krylov deferred correction technique for highly accurate solution of transient heat conduction problems

(2018) Wenzhen Qu et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

The generalized finite difference method for in-plane crack problems

(2018) Jun Lei et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

A meshless generalized finite difference method for inverse Cauchy problems associated with three-dimensional inhomogeneous Helmholtz-type equations

(2017) Qingsong Hua et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Solving second order non-linear elliptic partial differential equations using generalized finite difference method

(2017) L. Gavete et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Adaptive strategies to improve the application of the generalized finite differences method in 2D and 3D

(2017) Miguel Ureña et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Benchmark problems for subsurface flow uncertainty quantification

(2015) Haibin Chang et al.   JOURNAL OF HYDROLOGY

Persistent questions of heterogeneity, uncertainty, and scale in subsurface flow and transport

(2015) Peter K. Kitanidis   WATER RESOURCES RESEARCH

Dynamic analysis of functionally graded nanocomposite cylinders reinforced by wavy carbon nanotube under an impact load

(2014) Rasool Moradi-Dastjerdi et al.   JOURNAL OF VIBRATION AND CONTROL

Application of the Generalized Finite-Difference Method to Inverse Biharmonic Boundary-Value Problems

(2014) Chia-Ming Fan et al.   NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS

Assessment of parametric uncertainty for groundwater reactive transport modeling

(2014) Xiaoqing Shi et al.   WATER RESOURCES RESEARCH

Generalized finite difference method for solving two-dimensional non-linear obstacle problems

(2013) Hsin-Fang Chan et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Data assimilation and parameter estimation via ensemble Kalman filter coupled with stochastic moment equations of transient groundwater flow

(2013) M. Panzeri et al.   WATER RESOURCES RESEARCH

Assessment and management of risk in subsurface hydrology: A review and perspective

(2012) Daniel M. Tartakovsky   ADVANCES IN WATER RESOURCES

PDF equations for advective–reactive transport in heterogeneous porous media with uncertain properties

(2010) Daniel M. Tartakovsky et al.   JOURNAL OF CONTAMINANT HYDROLOGY

Heterogeneity in hydraulic conductivity and its role on the macroscale transport of a solute plume: From measurements to a practical application of stochastic flow and transport theory

(2010) E. A. Sudicky et al.   WATER RESOURCES RESEARCH

Exact sensitivity matrix and influence of the number of pilot points in the geostatistical inversion of moment equations of groundwater flow

(2010) Monica Riva et al.   WATER RESOURCES RESEARCH

Uncertain Future of Hydrogeology

(2007) Daniel M. Tartakovsky et al.   JOURNAL OF HYDROLOGIC ENGINEERING