Modification of Iterative Tikhonov Regularization Motivated by a Problem of Identification of Laser Beam Quality Parameters
DOI10.1007/978-3-319-70824-9_13zbMath1401.78016OpenAlexW2792707795MaRDI QIDQ4554183
Kazimierz Regiński, Teresa Regińska
Publication date: 13 November 2018
Published in: Trends in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-70824-9_13
Numerical computation of solutions to systems of equations (65H10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Lasers, masers, optical bistability, nonlinear optics (78A60) Existence theories for optimal control problems involving partial differential equations (49J20) Optimization problems in optics and electromagnetic theory (78M50) Numerical solution to inverse problems in abstract spaces (65J22) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)
Cites Work
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- Modified iterated Tikhonov methods for solving systems of nonlinear ill-posed equations
- A regularization method for solving the Cauchy problem for the Helmholtz equation
- Regularization strategy for determining laser beam quality parameters
- Iterative regularization methods for nonlinear ill-posed problems
- On steepest-descent-Kaczmarz methods for regularizing systems of nonlinear ill-posed equations
- Two regularization methods for the Cauchy problems of the Helmholtz equation
- Two approximate methods of a Cauchy problem for the Helmholtz equation
- An optimal filtering method for the Cauchy problem of the Helmholtz equation
- A regularization method for a Cauchy problem of the Helmholtz equation
- A quasi-reversibility regularization method for the Cauchy problem of the Helmholtz equation
- Conditional Stability Estimates and Regularization with Applications to Cauchy Problems for the Helmholtz Equation
- Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
- Approximate solution of a Cauchy problem for the Helmholtz equation
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