Adjoint-based optimization of PDE systems with alternative gradients. - Bartosz Protas (J. Comput. Phys., 2008)

Adjoint-based optimization of PDEs in moving domains. - Bartosz Protas; Wenyuan Liao (J. Comput. Phys., 2008)

An inverse model for a free-boundary problem with a contact line: Steady case. - Oleg Volkov; Bartosz Protas (J. Comput. Phys., 2009)

Regularization of the backward-in-time Kuramoto-Sivashinsky equation. - Jonathan Gustafsson; Bartosz Protas (J. Comput. Appl. Math., 2010)

Vortex design problem. - Bartosz Protas (J. Comput. Appl. Math., 2012)

Optimal reconstruction of material properties in complex multiphysics phenomena. - Vladislav Bukshtynov; Bartosz Protas (J. Comput. Phys., 2013)

Application of scaled nonlinear conjugate-gradient algorithms to the inverse natural convection problem. - Jeff C.-F. Wong; Bartosz Protas (Optim. Methods Softw., 2013)

A Method for Geometry Optimization in a Simple Model of Two-Dimensional Heat Transfer. - X. Peng; K. Niakhai; Bartosz Protas (SIAM J. Sci. Comput., 2013)

An Optimal Model Identification for Oscillatory Dynamics with a Stable Limit Cycle. - Bartosz Protas; Bernd R. Noack; Marek Morzynski (J. Nonlinear Sci., 2014)

A Mathematical Model for Mechanically-Induced Deterioration of the Binder in Lithium-Ion Electrodes. - Jamie M. Foster; S. Jonathan Chapman; Giles Richardson; Bartosz Protas (SIAM J. Appl. Math., 2017)

Computation of Ground States of the Gross-Pitaevskii Functional via Riemannian Optimization. - Ionut Danaila; Bartosz Protas (SIAM J. Sci. Comput., 2017)

Maximum Rate of Growth of Enstrophy in Solutions of the Fractional Burgers Equation. - Dongfang Yun; Bartosz Protas (J. Nonlinear Sci., 2018)

On the convergence of data assimilation for the one-dimensional shallow water equations with sparse observations. - Nicholas K.-R. Kevlahan; Ramsha A. Khan; Bartosz Protas (Adv. Comput. Math., 2019)

Bayesian uncertainty quantification in inverse modeling of electrochemical systems. - Athinthra Sethurajan; Sergey Krachkovskiy; Gillian Goward; Bartosz Protas (J. Comput. Chem., 2019)

Optimal Closures in a Simple Model for Turbulent Flows. - Pritpal Matharu; Bartosz Protas (SIAM J. Sci. Comput., 2020)

Singularity Formation in the Deterministic and Stochastic Fractional Burgers Equation. - Elkin Ramírez; Bartosz Protas (CoRR, 2021)

Searching for Singularities in Navier-Stokes Flows Based on the Ladyzhenskaya-Prodi-Serrin Conditions. - Di Kang; Bartosz Protas (J. Nonlinear Sci., 2022)

An accelerated Sobolev gradient method for unconstrained optimization problems based on variable inner products. - Arian Novruzi; Bartosz Protas (J. Comput. Appl. Math., 2023)

Systematic Search for Singularities in 3D Euler Flows. - Xinyu Zhao; Bartosz Protas (J. Nonlinear Sci., 2023)

Adjoint-based enforcement of state constraints in PDE optimization problems. - Pritpal Matharu; Bartosz Protas (J. Comput. Phys., 2024)