On Geometric Inverse Problems in Time-Fractional Subdiffusion
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Publication:5048578
DOI10.1137/21M145611XzbMath1501.35437MaRDI QIDQ5048578
Publication date: 16 November 2022
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
inverse problemfinite elementlevel set methodshape optimizationEulerian derivativetime-fractional subdiffusion
Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Optimization of shapes other than minimal surfaces (49Q10) Fractional partial differential equations (35R11)
Related Items (5)
Modelling, analysis, and numerical methods for a geometric inverse source problem in variable-order time-fractional subdiffusion ⋮ Numerical reconstruction of a discontinuous diffusive coefficient in variable-order time-fractional subdiffusion ⋮ Numerical analysis for optimal quadratic spline collocation method in two space dimensions with application to nonlinear time-fractional diffusion equation ⋮ Error and stability estimates of a time-fractional option pricing model under fully spatial-temporal graded meshes ⋮ Numerical Shape Reconstruction for a Semi-Linear Elliptic Interface Inverse Problem
Uses Software
Cites Work
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- Inverse source problem with a final overdetermination for a fractional diffusion equation
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Computation of the signed distance function to a discrete contour on adapted triangulation
- Recovering an unknown source in a fractional diffusion problem
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Finite element methods and their convergence for elliptic and parabolic interface problems
- Recent applications of fractional calculus to science and engineering
- A framework for the construction of level set methods for shape optimization and reconstruction
- Structural optimization using sensitivity analysis and a level-set method.
- Weak solutions to non-homogeneous boundary value problems for time-fractional diffusion equations
- A level set method for shape optimization in semilinear elliptic problems
- On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
- Time fractional diffusion: A discrete random walk approach
- Finite element approximation of optimal control problems governed by time fractional diffusion equation
- Isogeometric analysis for time-fractional partial differential equations
- Regularity of solutions to time fractional diffusion equations
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation
- Identification of a discontinuous source in the heat equation
- A Kernel Compression Scheme for Fractional Differential Equations
- An efficient numerical method for a shape-identification problem arising from the heat equation
- Shapes and Geometries
- Directional derivative of a minimax function
- Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation
- Recovery of the support of a source term in an elliptic differential equation
- Identification of Discontinuous Coefficients in Elliptic Problems Using Total Variation Regularization
- Numerical Analysis of Nonlinear Subdiffusion Equations
- Error Analysis of Fully Discrete Finite Element Approximations to an Optimal Control Problem Governed by a Time-Fractional PDE
- Introduction to Shape Optimization
- Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations
- New development in freefem++
- A Hidden-Memory Variable-Order Time-Fractional Optimal Control Model: Analysis and Approximation
- On Discrete Shape Gradients of Boundary Type for PDE-constrained Shape Optimization
- Time-Fractional Differential Equations
- A tutorial on inverse problems for anomalous diffusion processes
- Finite Element Method for the Space and Time Fractional Fokker–Planck Equation
- Pointwise-in-time error estimates for an optimal control problem with subdiffusion constraint
- A backward problem for the time-fractional diffusion equation
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