Guozhi Dong
Supervisor of Master's Candidates
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Journal Publications
[1]BDF schemes for accelerated gradient flows in projection-free approximation of nonconvex constrained variational minimization[J].arXiv preprint, 2024: 1-31.
[2]Gradient enhanced ADMM Algorithm for dynamic optimal transport on surfaces[J].arXiv preprint, 2024: 1-15.
[3]Data-driven methods for quantitative imaging[J].to appear in GAMM-Mitteilungen, 2024, arXiv:2404: 1-36.
[4]Accelerated gradient flows for large bending deformations of nonlinear plates[J].arXiv preprint, 2024, 2402.1215: 1-24.
[5]Second-order flows for approaching stationary points of a class of non-convex energies via convex-splitting schemes[J].arXiv preprint, 2024, 2402.1217: 1-37.
[6]A descent algorithm for the optimal control of ReLU neural network informed PDEs based on approximate directional derivatives[J].SIAM J. Optimization, 2024, 3 (3) : 2314-2349.
[7]First-order conditions for the optimal control of learning-informed nonsmooth PDEs.arXiv preprint, 2022, 2206.00297
[8]Superconvergence of differential structure for finite element methods on perturbed surface meshes[J].Journal of Computational Mathematics, 2024: 1-23.
[9]Discontinuous Galerkin methods for Laplace-Beltrami operator on point clouds.ArXiv preprint, 2022, 2012.15433
[10]A Parallel Technique for Multi-objective Bayesian Global Optimization: Using a Batch Selection of Probability of Improvement[J].Swarm and Evolutionary Computation, 2022, 75
[11]Second-order flows for computing the ground states of rotating Bose-Einstein condensates[J].Journal of Computational Physics, 2022, 111872
[12]Optimization with learning-informed differential equation constraints and its applications.ESAIM: Control, Optimization and Calculus of Variation, 2022, 28 (3) : 1-44.
[13]Convergence Rates of First and Second Order Dynamics for Solving Linear Ill-posed Problems.Foundations of Computational Mathematics, 2022, 22: 1567–1629.
[14]A Class of Second Order Geometric Quasilinear Hyperbolic PDEs and Their Applications in Imaging.SIAM J. Imaging Sciences, 2021, 14 (2) : 645–688.
[15]Parametric Polynomial Preserving Recovery on Manifolds.SIAM J. Scientific Computing, 2020, 42 (3) : A1885–A1912.
[16]Quantitative Magnetic Resonance Imaging: From fingerprinting to integrated physics-based model.SIAM J. Imaging Sciences, 2019, 12 (2) : 927–971.
[17]Convergence of Tikhonov regularization for solving ill-posed operator equations with solutions defined on surfaces.Inver. Probl. Imaging, 2017, 11 (2) : 221-246.
[18]Efficiency analysis of European Freight Villages: three peers for benchmarking[J].Central European Journal of Operations Research, 2017, 25: 91-122.
[19]Nonlinear Flows for Displacement Correction and Applications in Tomography.Lecture Notes in Computer Sciences, 2017, 10302: 283-294.
[20]Infinite Dimensional Optimization Models and PDEs for Dejittering.Lecture Notes in Computer Sciences, 2015, 9087: 678-689.
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