Identify the fractional order and diffusion coefficient in a fractional diffusion wave equation
type: Item
instance of: scholarly article
title: Identify the fractional order and diffusion coefficient in a fractional diffusion wave equation
zbMATH Open document ID: 1468.65130
author: Yanyan Li
published in: Journal of Computational and Applied Mathematics
publication date: 2021-04-23T00:00:00Z
Mathematics Subject Classification ID: 65M32
Mathematics Subject Classification ID: 65J20
Mathematics Subject Classification ID: 62F15
Mathematics Subject Classification ID: 62M09
Mathematics Subject Classification ID: 44A10
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7337475
zbMATH Keywords: inverse problem
zbMATH Keywords: uniqueness
zbMATH Keywords: Bayesian framework
zbMATH Keywords: iterative regularizing ensemble Kalman method
MaRDI profile type: Publication
full work available at URL: j.cam.2021.113497
OpenAlex ID: W3131885684
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
cites work: On existence and uniqueness of solutions for semilinear fractional wave equations
cites work: A compact difference scheme for the fractional diffusion-wave equation
cites work: Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains
cites work: Error analysis of direct discontinuous Galerkin method for two-dimensional fractional diffusion-wave equation
cites work: The backward problem for a time-fractional diffusion-wave equation in a bounded domain
cites work: Inversion of the initial value for a time-fractional diffusion-wave equation by boundary data
cites work: Recognition of a time-dependent source in a time-fractional wave equation
cites work: On the well-posedness of determination of two coefficients in a fractional integrodifferential equation
cites work: Q4040100
cites work: Q4057193
cites work: Q3310453
cites work: Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order
cites work: Q4233638
cites work: Q4530224
cites work: Simultaneous inversion for the space-dependent diffusion coefficient and the fractional order in the time-fractional diffusion equation
cites work: Q3944981
cites work: Inverse problems: a Bayesian perspective
cites work: Approximation of Bayesian Inverse Problems for PDEs
cites work: Besov priors for Bayesian inverse problems
cites work: Parameterizations for ensemble Kalman inversion
cites work: Filter based methods for statistical linear inverse problems
cites work: A regularizing iterative ensemble Kalman method for PDE-constrained inverse problems
cites work: Statistical and computational inverse problems.
cites work: Stochastic Collocation Algorithms Using $l_1$-Minimization for Bayesian Solution of Inverse Problems
cites work: Convergence analysis of surrogate-based methods for Bayesian inverse problems
cites work: AN ADAPTIVE MULTIFIDELITY PC-BASED ENSEMBLE KALMAN INVERSION FOR INVERSE PROBLEMS
cites work: Adaptive multi-fidelity polynomial chaos approach to Bayesian inference in inverse problems
cites work: Uncertainty Quantification and Weak Approximation of an Elliptic Inverse Problem
cites work: Bayesian approach to a nonlinear inverse problem for a time-space fractional diffusion equation
cites work: Iterative regularization for ensemble data assimilation in reservoir models
cites work: Analysis of iterative ensemble smoothers for solving inverse problems
cites work: Ensemble Kalman methods for inverse problems
cites work: Convergence analysis of ensemble Kalman inversion: the linear, noisy case
cites work: Alternating direction implicit Galerkin finite element method for the two-dimensional fractional diffusion-wave equation
DOI: 10.1016/J.CAM.2021.113497
description: scientific article; zbMATH DE number 7337475