Paper Publications
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- [1]. Analysis of A Sequential Regularization Method for the Unsteady Navier-Stokes Equations. Mathematics of Computation. (77). 1467-1494. 2008.
- [2]. Long Time Numerical Solution of The Navier–Stokes Equations Based on A Sequential Regularization Formulation. SIAM Journal on Scientific Computing. (31). 398-419. 2008.
- [3]. Error Estimate of the P1 Nonconforming Finite Element Method for the Penalized Unsteady Navier-Stokes Equations. Numerische Mathematik. (115). 261-287. 2010.
- [4]. Optimal Cntrol for the Elliptic System with Polygonal State Constraints. SIAM Journal on Control and Optimization. (48). 5053-5072. 2010.
- [5]. Optimal Control for Multi-phase Fluid Stokes Problems. Nonlinear Analysis, Theory, Methods & Applications. (74). 585-599. 2011.
- [6]. Numerical Identification of A Robin Coefficient in Parabolic Problems. Mathematics of Computation. (81). 1369-1398. 2012.
- [7]. Optimal Control for an Elliptic System with Convex Polygonal Control Constraints. IMA Journal of Numerical Analysis. (33). 875-897. 2013.
- [8]. Optimization-based Structure Identification of Complex Dynamical Networks. Physica A: Statistical Mechanics and its Applications. (392). 1038-1049. 2013.
- [9]. Optimal Control for Elliptic Systems with Pointwise Euclidean Norm Constraints on the Controls. Mathematical Programming. (142). 461-483. 2013.
- [10]. Extremal Eigenvalues of the Sturm-Liouville Problems with Discontinuous Coefficients. Numerical Mathematics: Theory, Method and Application. (6). 657-684. 2013.
- [11]. A Fast Nonstationary Iterative Method with Convex Penalty for Inverse Problems in Hilbert Spaces. Inverse Problems. 30 (4). 045012. 2014.
- [12]. An Analysis of Finite Element Approximation in Electrical Impedance Tomography. Inverse Problems. 30 (4). 045013. 2014.
- [13]. A Primal Dual Active Set Algorithm with Continuation for Compressed Sensing. IEEE TRANSACTIONS ON SIGNAL PROCESSING. (62). 6276-6285. 2014.
- [14]. Two-Level Quadratic Equal-Order Stabilized Method for the Stokes Eigenvalue Problem. International Journal of Computer Mathematics. 92 (2). 337-348. 2015.
- [15]. Numerical Identi- fication of a Sparse Robin Coefficient. Advance in Computational Mathematics. (41). 131-148. 2015.
- [16]. Finite Element Approximation to the Extremal Eigenvalue Problem for Inhomogenous Materials. Numerische Mathematik. 130 (4). 741-762. 2015.
- [17]. A Primal Dual Active Set with Continuation Algorithm for the ℓ0-Regularized Optimization Problem. Applied and Computational Harmonic Analysis. 39 (3). 400-426. 2015.
- [18]. Tikhonov Regularisation Method for Simultaneous Inversion of the Source Term and Initial Data in a Time-Fractional Diffusion Equation. East Asian Journal on Applied Mathematics. 5 (3). 273-300. 2015.
- [19]. A Simple Finite Element Method for Boundary Value Problems with a Riemann- Liouville Derivative. Journal of Computational and Applied Mathematics. (293). 94-111. 2016.
- [20]. Lq Regularization for Inverse Robin Problem. Journal of Inverse and Ill-Posed Problems. 24. 3-12. 2016.
- [21]. An Inverse Source Problem with Sparsity Constraint for The Time-Fractional Diffusion Equation. Advances in Applied Mathematics and Mechanics. 66. 1-18. 2016.
- [22]. An Alternating Direction Method with Continuation for Nonconvex Low Rank Minimization. Journal of Scientific Computing. 66. 849-869. 2016.
- [23]. Two-grid Variational Multiscale Method with Bubble Stabilization for Convection Diffusion Equation. Applied Mathematical Modelling. 40. 1097-1109. 2016.
- [24]. Stripe Noise Separation and Removal in Remote Sensing Images by Consideration of the Global Sparsity and Local Variational Properties. IEEE Transactions on Geoscience and Remote Sensing. 54. 3049-3060. 2016.
- [25]. Alternating Direction Method of Multipliers for Linear Inverse Problems. SIAM Journal on Numerical Analysis. 54. 2114-2137. 2016.
- [26]. A stabilized finite element method for the convection dominated diffusion optimal control problem. Applicable Analysis. 95. 2807-2823. 2016.
- [27]. Group Sparse Recovery via the ℓ0(ℓ2) Penalty: Theory and Algorithm. IEEE Transection on Signal Processing. 65. 998-1012. 2017.
- [28]. Preconditioned Alternating Direction Method of Multipliers for Inverse Problems with Constraints. Inverse Problems. 33. 025004. 2017.
- [29]. Computation of Time Optimal Control Problems Governed by Linear Ordinary Differential Equations. Journal of Scientific Computing. 73. 1-25. 2017.
- [30]. Iterative Soft/Hard Thresholding With Homotopy Continuation for Sparse Recovery. IEEE Signal Processing Letters. 24. 784-788. 2017.
- [31]. Preasymptotic convergence of randomized Kaczmarz method. Inverse Problems. 33. 125012. 2017.
- [32]. A Universal Destriping Framework Combining 1-D and 2-D Variational Optimization Methods. IEEE Transactions on Geoscience and Remote Sensing. 56. 808-822. 2018.
- [33]. Robust Decoding from 1-Bit Compressive Sampling with Ordinary and Regularized Least Squares. SIAM Journal on Scientific Computing. 40. A2062CA2086. 2018.
- [34]. A Constructive Approach to L0 Penalized Regression. Journal of Machine Learning Research. 19. 1-37. 2018.
- [35]. A Nonconvex Model with Minimax Concave Penalty for Image Restoration. Journal of Scientific Computing. 1-24.
- [36]. On the regularizing property of stochastic gradient descent. Inverse Problems. 35. 015004.
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