A data completion algorithm using an integral representation of the Steklov-Poincaré operator
DOI10.1016/J.CAM.2022.114855zbMath1504.65242OpenAlexW4306169055MaRDI QIDQ2104049
Chaima Abid, Yosra Boukari, Amel Ben Abda, Riadh Ben Fatma
Publication date: 9 December 2022
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.2022.114855
Cauchy problemboundary integral equationsGMRES algorithmSteklov-Poincaré operatordata completion algorithm
Numerical optimization and variational techniques (65K10) Numerical methods for integral equations (65R20) Ill-posed problems for PDEs (35R25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Preconditioners for iterative methods (65F08) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)
Uses Software
Cites Work
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- An Aitken-like acceleration method applied to missing boundary data reconstruction for the Cauchy-Helmholtz problem
- Modified regularization method for the Cauchy problem of the Helmholtz equation
- Boundary element-minimal error method for the Cauchy problem associated with Helmholtz-type equations
- Inverse acoustic and electromagnetic scattering theory.
- An alternating iterative algorithm for the Cauchy problem associated to the Helmholtz equation
- Conjugate gradient-boundary element solution to the Cauchy problem for Helmholtz-type equations
- Some novel numerical techniques for an inverse Cauchy problem
- A meshless fading regularization algorithm for solving the Cauchy problem for the three-dimensional Helmholtz equation
- Missing boundary data recovering for the Helmholtz problem
- BEM solution for the Cauchy problem associated with Helmholtz-type equations by the Landweber method
- The Detection of the Source of Acoustical Noise in Two Dimensions
- On Cauchy's problem: I. A variational Steklov–Poincaré theory
- A mollified method for the solution of the Cauchy problem for the convection–diffusion equation
- An alternating boundary integral based method for a Cauchy problem for the Laplace equation in a quadrant
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Data completion method for the Helmholtz equation via surface potentials for partial Cauchy data
- A convergent data completion algorithm using surface integral equations
- On Cauchy's problem: II. Completion, regularization and approximation
- Solution of the Cauchy problem for the wave equation using iterative regularization
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