Some novel numerical techniques for an inverse Cauchy problem
DOI10.1016/j.cam.2020.113030zbMath1446.65151OpenAlexW3033658573MaRDI QIDQ2195922
Abdelkrim Chakib, M. Nachaoui, M. A. Hilal, Abdeljalil Nachaoui
Publication date: 28 August 2020
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.2020.113030
finite elementsdomain decompositioniterative algorithmsnumerical simulationinverse Cauchy problemSteklov-Poincaré operator
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Degree theory for nonlinear operators (47H11) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- PDE-constrained optimal control approach for the approximation of an inverse Cauchy problem
- A fast solver for an inverse problem arising in bioluminescence tomography
- A quasi-reversibility regularization method for an inverse heat conduction problem without initial data
- Modulus-based iterative methods for constrained Tikhonov regularization
- An alternating method for an inverse Cauchy problem
- Adaptive mesh techniques based on a posteriori error estimates for an inverse Cauchy problem
- Marching schemes for inverse scattering problems in waveguides with curved boundaries
- Solution of the Cauchy problem using iterated Tikhonov regularization
- An $H_\mathsf{div}$-Based Mixed Quasi-reversibility Method for Solving Elliptic Cauchy Problems
- Solving Cauchy problems by minimizing an energy-like functional
- Generalized finite difference method for solving two-dimensional inverse Cauchy problems
- The Quasi-Reversibility Method for Thermoacoustic Tomography in a Heterogeneous Medium
- A Computational Quasi-Reversibility Method for Cauchy Problems for Laplace’s Equation
- Une méthode inverse à régularisation évanescente
- Convergence of an Alternating Method to Solve the Cauchy Problem for Poisson's Equation
- Numerical solution of forward and inverse Sturm–Liouville problems with an angular momentum singularity
- A mixed formulation of quasi-reversibility to solve the Cauchy problem for Laplace's equation
- Convergence analysis for finite element approximation to an inverse Cauchy problem