Identify the fractional order and diffusion coefficient in a fractional diffusion wave equation
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Publication:2020557
DOI10.1016/j.cam.2021.113497zbMath1468.65130OpenAlexW3131885684MaRDI QIDQ2020557
Publication date: 23 April 2021
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2021.113497
Non-Markovian processes: estimation (62M09) Bayesian inference (62F15) Inverse problems for PDEs (35R30) Laplace transform (44A10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11)
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Cites Work
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- Alternating direction implicit Galerkin finite element method for the two-dimensional fractional diffusion-wave equation
- Besov priors for Bayesian inverse problems
- On existence and uniqueness of solutions for semilinear fractional wave equations
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- A compact difference scheme for the fractional diffusion-wave equation
- On the well-posedness of determination of two coefficients in a fractional integrodifferential equation
- Iterative regularization for ensemble data assimilation in reservoir models
- Filter based methods for statistical linear inverse problems
- Analysis of iterative ensemble smoothers for solving inverse problems
- Statistical and computational inverse problems.
- The backward problem for a time-fractional diffusion-wave equation in a bounded domain
- Error analysis of direct discontinuous Galerkin method for two-dimensional fractional diffusion-wave equation
- Inversion of the initial value for a time-fractional diffusion-wave equation by boundary data
- Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains
- Adaptive multi-fidelity polynomial chaos approach to Bayesian inference in inverse problems
- Recognition of a time-dependent source in a time-fractional wave equation
- A regularizing iterative ensemble Kalman method for PDE-constrained inverse problems
- Simultaneous inversion for the space-dependent diffusion coefficient and the fractional order in the time-fractional diffusion equation
- Ensemble Kalman methods for inverse problems
- Inverse problems: A Bayesian perspective
- Approximation of Bayesian Inverse Problems for PDEs
- Uncertainty Quantification and Weak Approximation of an Elliptic Inverse Problem
- Bayesian approach to a nonlinear inverse problem for a time-space fractional diffusion equation
- Parameterizations for ensemble Kalman inversion
- Convergence analysis of surrogate-based methods for Bayesian inverse problems
- Convergence analysis of ensemble Kalman inversion: the linear, noisy case
- AN ADAPTIVE MULTIFIDELITY PC-BASED ENSEMBLE KALMAN INVERSION FOR INVERSE PROBLEMS
- Stochastic Collocation Algorithms Using $l_1$-Minimization for Bayesian Solution of Inverse Problems
- Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
