Variational Bayesian inversion for the reaction coefficient in space-time nonlocal diffusion equations
type: Item
instance of: scholarly article
title: Variational Bayesian inversion for the reaction coefficient in space-time nonlocal diffusion equations
zbMATH Open document ID: 1466.62270
author: Xiaoyan Song
author: Guang-Hui Zheng
author: L. Jiang
published in: Advances in Computational Mathematics
publication date: 2021-05-28T00:00:00Z
Mathematics Subject Classification ID: 62F15
Mathematics Subject Classification ID: 65N21
Mathematics Subject Classification ID: 60J60
Mathematics Subject Classification ID: 35R30
zbMATH DE Number: 7351906
zbMATH Keywords: space-time nonlocal diffusion equation
zbMATH Keywords: gradient-based prior
zbMATH Keywords: variational Bayesian inversion
MaRDI profile type: Publication
full work available at URL: s10444-021-09850-1
OpenAlex ID: W3152564915
cites work: A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian
cites work: A Fractional Laplace Equation: Regularity of Solutions and Finite Element Approximations
cites work: Q3162662
cites work: Enhancing sparsity by reweighted \(\ell _{1}\) minimization
cites work: Functional spaces for the theory of elliptic partial differential equations. Transl. from the French by Reinie Erné
cites work: Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
cites work: A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS
cites work: Q5480569
cites work: Numerical Methods for the Fractional Laplacian: A Finite Difference-Quadrature Approach
cites work: Harnack's inequality for a space-time fractional diffusion equation and applications to an inverse source problem
cites work: A tutorial on inverse problems for anomalous diffusion processes
cites work: A Bayesian inference approach to the ill-posed Cauchy problem of steady-state heat conduction
cites work: Hierarchical Bayesian inference for ill-posed problems via variational method
cites work: Statistical and computational inverse problems.
cites work: On Information and Sufficiency
cites work: Fractional differentiation matrices with applications
cites work: Effective solution of nonlinear subsurface flow inverse problems in sparse bases
cites work: An inverse time-dependent source problem for a time-space fractional diffusion equation
cites work: Uniqueness in inverse boundary value problems for fractional diffusion equations
cites work: Finite difference/spectral approximations for the time-fractional diffusion equation
cites work: A Simple Solver for the Fractional Laplacian in Multiple Dimensions
cites work: Q4250595
cites work: Computational Methods for Inverse Problems
cites work: Implicit sampling for hierarchical Bayesian inversion and applications in fractional multiscale diffusion models
cites work: Identification of the reaction coefficient in time fractional diffusion equations
cites work: Inverse problems: a Bayesian perspective
cites work: Identification of the zeroth-order coefficient in a time fractional diffusion equation
cites work: Simultaneous inversion for the exponents of the fractional time and space derivatives in the space-time fractional diffusion equation
cites work: Nonconforming Discontinuous Galerkin Methods for Nonlocal Variational Problems
cites work: An inverse time-dependent source problem for a time-fractional diffusion equation
cites work: Determination of Robin coefficient in a fractional diffusion problem
cites work: A TV-Gaussian prior for infinite-dimensional Bayesian inverse problems and its numerical implementations
cites work: The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation
cites work: Bayesian approach to a nonlinear inverse problem for a time-space fractional diffusion equation
DOI: 10.1007/S10444-021-09850-1
description: scientific article; zbMATH DE number 7351906