Application of the generalized multiscale finite element method in an inverse random source problem

DOI10.1016/j.jcp.2020.110032OpenAlexW3108056052MaRDI QIDQ2120058

Shubin Fu, Zhi-Dong Zhang

Publication date: 31 March 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2020.110032

zbMATH Keywords

inverse problemgeneralized multiscale finite element methodfractional diffusion equationheterogeneous mediumrandom sourceregularized iterative algorithm

Mathematics Subject Classification ID

Numerical methods for partial differential equations, boundary value problems (65Nxx) Miscellaneous topics in partial differential equations (35Rxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Related Items (2)

Well-posedness of the stochastic time-fractional diffusion and wave equations and inverse random source problems ⋮ Identification of a time-dependent control parameter for a stochastic diffusion equation

Cites Work

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• Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients
• Strong maximum principle for fractional diffusion equations and an application to an inverse source problem
• Generalized multiscale finite element methods (GMsFEM)
• A generalized multiscale finite element method for the Brinkman equation
• Recovering an unknown source in a fractional diffusion problem
• An adaptive GMsFEM for high-contrast flow problems
• A multiscale finite element method for elliptic problems in composite materials and porous media
• The fractional Calderón problem: low regularity and stability
• An undetermined time-dependent coefficient in a fractional diffusion equation
• Uniqueness and reconstruction for the fractional Calderón problem with a single measurement
• Less is often more: applied inverse problems using \(hp\)-forward models
• Multiscale finite element method for heat transfer problem during artificial ground freezing
• Maximum principle for the generalized time-fractional diffusion equation
• An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
• Fractional diffusion: recovering the distributed fractional derivative from overposed data
• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• THE PARTITION OF UNITY METHOD
• Inverse Random Source Scattering for Elastic Waves
• Reconstruction of the temporal component in the source term of a (time-fractional) diffusion equation
• An inverse source problem for distributed order time-fractional diffusion equation
• Initial-boundary value problem for distributed order time-fractional diffusion equations
• Multifrequency Iterative Methods for the Inverse Medium Scattering Problems in Elasticity
• A tutorial on inverse problems for anomalous diffusion processes
• Mixed Generalized Multiscale Finite Element Methods and Applications
• Weak unique continuation property and a related inverse source problem for time-fractional diffusion-advection equations
• Adaptive Mixed GMsFEM for Flows in Heterogeneous Media
• Carleman estimates for the time-fractional advection-diffusion equations and applications
• A method for the solution of certain non-linear problems in least squares
• Applications in Engineering, Life and Social Sciences, Part B
• Stochastic differential equations. An introduction with applications.

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