Estimation of boundary condition of two-dimensional nonlinear PDE with application to continuous casting
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Publication:2214465
DOI10.1016/j.camwa.2020.10.021OpenAlexW3112179961MaRDI QIDQ2214465
Publication date: 8 December 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2020.10.021
conjugate gradient algorithmregularization methodill-posednessLipchitz continuousPDE optimization problem
Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Methods of quasi-Newton type (90C53) Inverse problems for PDEs (35R30) Methods of reduced gradient type (90C52)
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Cites Work
- Some modified conjugate gradient methods for unconstrained optimization
- New hybrid conjugate gradient method for unconstrained optimization
- Coefficient identification in PDEs applied to image inpainting
- A regularized optimization method for identifying the space-dependent source and the initial value simultaneously in a parabolic equation
- Quasi-Newton based preconditioning and damped quasi-Newton schemes for nonlinear conjugate gradient methods
- Variational method for multiple parameter identification in elliptic PDEs
- A new conjugate gradient method based on quasi-Newton equation for unconstrained optimization
- A new class of spectral conjugate gradient methods based on a modified secant equation for unconstrained optimization
- Some regularization methods for a class of nonlinear fractional evolution equations
- A spectral conjugate gradient method for solving large-scale unconstrained optimization
- Optimization of the shape (and topology) of the initial conditions for diffusion parameter identification
- An efficient modified PRP-FR hybrid conjugate gradient method for solving unconstrained optimization problems
- An efficient nonmonotone adaptive cubic regularization method with line search for unconstrained optimization problem
- A sufficient descent nonlinear conjugate gradient method for solving \(\mathcal{M} \)-tensor equations
- Some three-term conjugate gradient methods with the new direction structure
- Global inexact quasi-Newton method for nonlinear system of equations with constraints
- A hybrid conjugate gradient method with descent property for unconstrained optimization
- A Dai-Yuan conjugate gradient algorithm with sufficient descent and conjugacy conditions for unconstrained optimization
- Convergence and error analysis of a numerical method for the identification of matrix parameters in elliptic PDEs
- An Algorithm for Least-Squares Estimation of Nonlinear Parameters
- A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property
- Simultaneous reconstruction of the time-dependent Robin coefficient and heat flux in heat conduction problems
- Function minimization by conjugate gradients
- The conjugate gradient method in extremal problems
- A new efficient conjugate gradient method for unconstrained optimization
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