An accelerated Sobolev gradient method for unconstrained optimization problems based on variable inner products
DOI10.1016/j.cam.2022.114833zbMath1504.90200OpenAlexW4296640280MaRDI QIDQ2087526
Publication date: 21 October 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.2022.114833
Newton's methodSobolev gradientsgradient method with accelerated convergenceunconstrained optimization in Hilbert spacesvariable inner products
Numerical optimization and variational techniques (65K10) Methods of quasi-Newton type (90C53) Optimization problems in optics and electromagnetic theory (78M50) Numerical analysis (educational aspects) (97N40)
Uses Software
Cites Work
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- Adjoint-based optimization of PDE systems with alternative gradients
- Application of Sobolev gradient method to Poisson-Boltzmann system
- Energy minimization related to the nonlinear Schrödinger equation
- A computational framework for the regularization of adjoint analysis in multiscale PDE systems.
- Gradient method in Hilbert-Besov spaces for the optimal control of parabolic free boundary problems
- Sobolev gradients for the Möbius energy
- Sobolev Gradients and Image Interpolation
- A New Sobolev Gradient Method for Direct Minimization of the Gross–Pitaevskii Energy with Rotation
- Image Sharpening via Sobolev Gradient Flows
- Newton Methods for Nonlinear Problems
- Two-Point Step Size Gradient Methods
- Solving Nonlinear Equations with Newton's Method
- The Primal-Dual Active Set Strategy as a Semismooth Newton Method
- New development in freefem++
- Extreme vortex states and the growth of enstrophy in three-dimensional incompressible flows
- Sobolev gradients and differential equations
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