187
Views
35
CrossRef citations to date
0
Altmetric
Original Articles

Comparison of advanced large-scale minimization algorithms for the solution of inverse ill-posed problems

, &
Pages 63-87 | Received 22 Jul 2007, Published online: 04 Mar 2011

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (4)

Baasansuren Jadamba, Akhtar A. Khan, Assad A. Oberai & Miguel Sama. (2017) First-order and second-order adjoint methods for parameter identification problems with an application to the elasticity imaging inverse problem. Inverse Problems in Science and Engineering 25:12, pages 1768-1787.
Read now
Jeff C.-F. Wong & Bartosz Protas. (2013) Application of scaled nonlinear conjugate-gradient algorithms to the inverse natural convection problem. Optimization Methods and Software 28:1, pages 159-185.
Read now
Alexandru Cioaca, Mihai Alexe & Adrian Sandu. (2012) Second-order adjoints for solving PDE-constrained optimization problems. Optimization Methods and Software 27:4-5, pages 625-653.
Read now

Articles from other publishers (31)

Jarkko Suuronen, Tomás Soto, Neil K Chada & Lassi Roininen. (2023) Bayesian inversion with α-stable priors. Inverse Problems 39:10, pages 105007.
Crossref
Daosheng Wang, Jinglu Jiang, Zilu Wei, Jun Cheng & Jicai Zhang. (2023) Estimation of the Manning’s n coefficient in multi-constituent tidal models by assimilating satellite observations with the adjoint data assimilation. Frontiers in Marine Science 10.
Crossref
Christopher Hurst, Milija Zupanski & Xinfeng Gao. (2022) The maximum likelihood ensemble smoother for the Kuramoto–Sivashinsky equation. IMA Journal of Applied Mathematics 87:6, pages 935-963.
Crossref
Yunfei Du, Daosheng Wang, Jicai Zhang, Ya Ping Wang & Daidu Fan. (2021) Estimation of initial conditions for surface suspended sediment simulations with the adjoint method: A case study in Hangzhou Bay. Continental Shelf Research 227, pages 104526.
Crossref
Daosheng Wang, Jicai Zhang & Ya Ping Wang. (2021) Estimation of Bottom Friction Coefficient in Multi‐Constituent Tidal Models Using the Adjoint Method: Temporal Variations and Spatial Distributions. Journal of Geophysical Research: Oceans 126:5.
Crossref
Noémi Petra & Ekkehard W. Sachs. 2021. Numerical Analysis and Optimization. Numerical Analysis and Optimization 209 230 .
Sulin Tao, Yuhong Li, Isaac Mugume & Shuanghe Shen. (2020) The spectral conjugate gradient method in variational adjoint assimilation for model terrain correction I: Theoretical frame. IOP Conference Series: Materials Science and Engineering 768:7, pages 072044.
Crossref
Sulin Tao, Yuhong Li, Isaac Mugume & Shuanghe Shen. (2020) The spectral conjugate gradient method in variational adjoint assimilation for model terrain correction II: Numerical test. IOP Conference Series: Materials Science and Engineering 768:7, pages 072043.
Crossref
Vanna Lisa Coli, Pierre-Henri Tournier, Victorita Dolean, Ibtissam El Kanfoud, Christian Pichot, Claire Migliaccio & Laure Blanc-Feraud. (2019) Detection of Simulated Brain Strokes Using Microwave Tomography. IEEE Journal of Electromagnetics, RF and Microwaves in Medicine and Biology 3:4, pages 254-260.
Crossref
Jicai Zhang, Guoqing Li, Jiacheng Yi, Yanqiu Gao & Anzhou Cao. (2019) A Method on Estimating Time-Varying Vertical Eddy Viscosity for an Ekman Layer Model with Data Assimilation. Journal of Atmospheric and Oceanic Technology 36:9, pages 1789-1812.
Crossref
Jeffrey Steward, Ziad Haddad, Svetla Hristova-Veleva, Sahra Kacimi & Eun-Kyoung Seo. (2019) Variational Deconvolution of Conically Scanned Passive Microwave Observations With Error Quantification. IEEE Transactions on Geoscience and Remote Sensing 57:2, pages 1001-1014.
Crossref
Rossella Arcucci, Laetitia Mottet, Christopher Pain & Yi-Ke Guo. (2019) Optimal reduced space for Variational Data Assimilation. Journal of Computational Physics 379, pages 51-69.
Crossref
. 2019. Proper Orthogonal Decomposition Methods for Partial Differential Equations. Proper Orthogonal Decomposition Methods for Partial Differential Equations 247 256 .
. 2019. Proper Orthogonal Decomposition Methods for Partial Differential Equations. Proper Orthogonal Decomposition Methods for Partial Differential Equations 57 155 .
Ioannis E. Livieris, Vassilis Tampakas & Panagiotis Pintelas. (2018) A descent hybrid conjugate gradient method based on the memoryless BFGS update. Numerical Algorithms 79:4, pages 1169-1185.
Crossref
Daosheng Wang, Anzhou Cao, Jicai Zhang, Daidu Fan, Yongzhi Liu & Yue Zhang. (2018) A three-dimensional cohesive sediment transport model with data assimilation: Model development, sensitivity analysis and parameter estimation. Estuarine, Coastal and Shelf Science 206, pages 87-100.
Crossref
Yan-jie Zhou, Fei Teng & Zhen-dong Luo. (2017) A stabilized Crank-Nicolson mixed finite element method for non-stationary parabolized Navier-Stokes equations. Acta Mathematicae Applicatae Sinica, English Series 33:2, pages 409-416.
Crossref
Alexander Korotkii, Dmitry Kovtunov, Alik Ismail-Zadeh, Igor Tsepelev & Oleg Melnik. (2016) Quantitative reconstruction of thermal and dynamic characteristics of lava flow from surface thermal measurements. Geophysical Journal International 205:3, pages 1767-1779.
Crossref
Zhendong LUO. (2015) A stabilized Crank-Nicolson mixed finite volume element formulation for the non-stationary parabolized Navier-Stokes equations. Acta Mathematica Scientia 35:5, pages 1055-1066.
Crossref
Guangzhen Jin, Qiang Liu & Xianqing Lv. (2015) Inversion Study of Vertical Eddy Viscosity Coefficient Based on an Internal Tidal Model with the Adjoint Method. Mathematical Problems in Engineering 2015, pages 1-14.
Crossref
Chun Hui Wang, You Li Shen & Xian Qing Lv. (2014) Estimation of Initial Field in the Bohai Sea with the Adjoint Method: A Comparative Study on Optimization Algorithms. Applied Mechanics and Materials 571-572, pages 196-200.
Crossref
Jicai Zhang & Ya Ping Wang. (2014) A method for inversion of periodic open boundary conditions in two-dimensional tidal models. Computer Methods in Applied Mechanics and Engineering 275, pages 20-38.
Crossref
Haibo Chen, Anzhou Cao, Jicai Zhang, Chunbao Miao & Xianqing Lv. (2014) Estimation of spatially varying open boundary conditions for a numerical internal tidal model with adjoint method. Mathematics and Computers in Simulation 97, pages 14-38.
Crossref
Juan Du, I.M. Navon, Jiang Zhu, Fangxin Fang & A.K. Alekseev. (2013) Reduced order modeling based on POD of a parabolized Navier–Stokes equations model II: Trust region POD 4D VAR data assimilation. Computers & Mathematics with Applications 65:3, pages 380-394.
Crossref
Haibo Chen, Chunbao Miao & Xianqing Lv. (2013) Estimation of Open Boundary Conditions for an Internal Tidal Model with Adjoint Method: A Comparative Study on Optimization Methods. Mathematical Problems in Engineering 2013, pages 1-12.
Crossref
Jicai Zhang & Haibo Chen. (2013) Semi-Idealized Study on Estimation of Partly and Fully Space Varying Open Boundary Conditions for Tidal Models. Abstract and Applied Analysis 2013, pages 1-14.
Crossref
Haibo Chen, Chunbao Miao & Xianqing Lv. (2011) A three‐dimensional numerical internal tidal model involving adjoint method. International Journal for Numerical Methods in Fluids 69:10, pages 1584-1613.
Crossref
J. Du, I.M. Navon, J.L. Steward, A.K. Alekseev & Z. Luo. (2012) Reduced-order modeling based on POD of a parabolized Navier-Stokes equation model I: forward model. International Journal for Numerical Methods in Fluids 69:3, pages 710-730.
Crossref
Alexandru Cioaca, Adrian Sandu, Eric De Sturler & Emil Constantinescu. 2012. Uncertainty Quantification in Scientific Computing. Uncertainty Quantification in Scientific Computing 250 264 .
Jicai Zhang & Xianqing Lu. (2010) Inversion of three-dimensional tidal currents in marginal seas by assimilating satellite altimetry. Computer Methods in Applied Mechanics and Engineering 199:49-52, pages 3125-3136.
Crossref
Neculai Andrei. (2010) New accelerated conjugate gradient algorithms as a modification of Dai?Yuan?s computational scheme for unconstrained optimization. Journal of Computational and Applied Mathematics 234:12, pages 3397-3410.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.