Guozhi Dong
Supervisor of Master's Candidates
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Journal Publications
[1]A descent algorithm for the optimal control of ReLU neural network informed PDEs based on approximate directional derivatives[J].ArXiv preprint, 2022: 1-29.
[2]First-order conditions for the optimal control of learning-informed nonsmooth PDEs.arXiv preprint, 2022, 2206.00297
[3]A Parallel Technique for Multi-objective Bayesian Global Optimization: Using a Batch Selection of Probability of Improvement[J].Swarm and Evolutionary Computation, 2022, 75
[4]Second-order flows for computing the ground states of rotating Bose-Einstein condensates[J].Journal of Computational Physics, 2022, 111872
[5]Discontinuous Galerkin methods for Laplace-Beltrami operator on point clouds.ArXiv preprint, 2022, 2012.15433
[6]Superconvergence of differential structure on manifolds and its applications.ArXiv preprint, 2022, 1910.14093
[7]Optimization with learning-informed differential equation constraints and its applications.ESAIM: Control, Optimization and Calculus of Variation, 2022, 28 (3) : 1-44.
[8]Convergence Rates of First and Second Order Dynamics for Solving Linear Ill-posed Problems.Foundations of Computational Mathematics, 2021: 1-63.
[9]A Class of Second Order Geometric Quasilinear Hyperbolic PDEs and Their Applications in Imaging.SIAM J. Imaging Sciences, 2021, 14 (2) : 645–688.
[10]Parametric Polynomial Preserving Recovery on Manifolds.SIAM J. Scientific Computing, 2020, 42 (3) : A1885–A1912.
[11]Quantitative Magnetic Resonance Imaging: From fingerprinting to integrated physics-based model.SIAM J. Imaging Sciences, 2019, 12 (2) : 927–971.
[12]Nonlinear Flows for Displacement Correction and Applications in Tomography.Lecture Notes in Computer Sciences, 2017, 10302: 283-294.
[13]Convergence of Tikhonov regularization for solving ill-posed operator equations with solutions defined on surfaces.Inver. Probl. Imaging, 2017, 11 (2) : 221-246.
[14]Infinite Dimensional Optimization Models and PDEs for Dejittering.Lecture Notes in Computer Sciences, 2015, 9087: 678-689.
[15]Scale and Edge detection with Topological Derivatives.Lecture Notes in Computer Sciences, 2013, 7893: 404-415.
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