Topological sensitivity analysis method in identifying of point sources via time-fractional diffusion equation
DOI10.1007/S10440-022-00523-9OpenAlexW4292773689WikidataQ113904638 ScholiaQ113904638MaRDI QIDQ2676772
Publication date: 28 September 2022
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-022-00523-9
inverse problemfractional derivativesnumerical algorithmsrelaxation techniquetopological sensitivity
Initial-boundary value problems for second-order parabolic equations (35K20) Fractional derivatives and integrals (26A33) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for integral equations (65R32) Inverse problems in optimal control (49N45) Fractional partial differential equations (35R11) PDE constrained optimization (numerical aspects) (49M41)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- A priori estimates for solutions of boundary value problems for fractional-order equations
- The Galerkin finite element method for a multi-term time-fractional diffusion equation
- Problèmes aux limites non homogènes. II, III
- Implicit finite difference approximation for time fractional diffusion equations
- Topological optimization method for a geometric control problem in Stokes flow
- Global uniqueness in an inverse problem for time fractional diffusion equations
- On inverse problems for characteristic sources in Helmholtz equations
- Identification of point sources in an elliptic equation from interior measurements: application to a seawater intrusion problem
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Detection of point-forces location using topological algorithm in Stokes flows
- The Topological Asymptotic for PDE Systems: The Elasticity Case
- An inverse time-dependent source problem for a time-fractional diffusion equation
- Maximum principle and its application for the time-fractional diffusion equations
- Identification of multiple moving pollution sources in surface waters or atmospheric media with boundary observations
- The topological asymptotic for the Navier-Stokes equations
- Topological sensitivity analysis for time-dependent problems
- On the Topological Derivative in Shape Optimization
- The Topological Asymptotic for the Helmholtz Equation
- An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
- New development in freefem++
- Inverse source problem for a diffusion equation involving the fractional spectral Laplacian
- Identification of points sources via time fractional diffusion equation
- Weak unique continuation property and a related inverse source problem for time-fractional diffusion-advection equations
- Solvability of a Dirichlet problem for a time fractional diffusion-wave equation in Lipschitz domains
- From Differential Calculus to 0‐1 Topological Optimization
- Removing holes in topological shape optimization
- Identification of a point source in a linear advection–dispersion–reaction equation: application to a pollution source problem
- From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion
- Limitations of the Newtonian time scale in relation to non-equilibrium rheological states and a theory of quasi-properties
- Topological sensitivity method for reconstruction of the spatial component in the source term of a time-fractional diffusion equation
This page was built for publication: Topological sensitivity analysis method in identifying of point sources via time-fractional diffusion equation