Sijing Liu

Sijing Liu

Postdoctoral Scholar at Worcester Polytechnic Institute

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* Corresponding Author

Submitted:

  1. Sijing Liu and Jinjin Zhang, Convergence analysis of a balancing domain decomposition method for an elliptic optimal control problem with HDG discretizations. arXiv preprint arXiv:2508.13997 (2025).
  2. Sijing Liu* and Jinjin Zhang, A balancing domain decomposition by constraints preconditioner for a hybridizable discontinuous Galerkin discretization of an elliptic optimal control problem. arXiv preprint arXiv:2504.02072 (2025).

Publications:

  1. Satyajith Bommana Boyana, Thomas Lewis, Sijing Liu and Yi Zhang, Convergence Analysis of a Dual-Wind Discontinuous Galerkin Method for an Elliptic Optimal Control Problem with Control Constraints. Results in Applied Mathematics (2025).
  2. Sijing Liu* and Valeria Simoncini, Multigrid preconditioning for discontinuous Galerkin discretizations of an elliptic optimal control problem with a convection-dominated state equation. Journal of Scientific Computing (2024).
  3. Erik Burman, Rebecca Durst, Miguel Fernandez, Johnny Guzman and Sijing Liu*, A second-order correction method for loosely coupled discretizations applied to parabolic-parabolic interface problems. IMA Journal of Numerical Analysis (2024).
  4. Satyajith Bommana Boyana, Thomas Lewis, Sijing Liu* and Yi Zhang, Convergence analysis of novel discontinuous Galerkin methods for a convection-dominated problem. Computers & Mathematics With Applications (2024).
  5. Erik Burman, Rebecca Durst, Miguel Fernandez, Johnny Guzman and Sijing Liu*, Estimates of discrete time derivatives for the parabolic-parabolic Robin-Robin coupling method. Numerical Algorithms (2024).
  6. Sijing Liu*, Robust multigrid methods for discontinuous Galerkin discretizations of an elliptic optimal control problem. Computational Methods in Applied Mathematics (2024).
  7. Sijing Liu*, Zhiyu Tan and Yi Zhang. Discontinuous Galerkin methods for an elliptic optimal control problem with a general state equation and pointwise state constraints. Journal of Computational and Applied Mathematics 437 (2024), 115494.
  8. Susanne C. Brenner, Sijing Liu and Li-yeng Sung. Multigrid methods for an elliptic optimal control problem with pointwise state constraints. Results in Applied Mathematics (2023).
  9. Susanne C. Brenner, Sijing Liu and Li-yeng Sung. A P1 finite element method for a distributed elliptic optimal control problem with a general state equation and pointwise state constraints. Computational Methods in Applied Mathematics (2021).
  10. Susanne C. Brenner, Sijing Liu and Li-yeng Sung. Multigrid methods for saddle point problems: optimality systems. Journal of Computational and Applied Mathematics 372 (2020), 112733.
  11. Samiul Haque, Laszlo P. Kindrat, Li Zhang, Vikenty Mikheev, Daewa Kim, Sijing Liu, Jooyeon Chung, Mykhailo Kuian, Jordan E. Massad, and Ralph C. Smith. Uncertainty-enabled design of electromagnetic reflectors with integrated shape control. In Behavior and Mechanics of Multifunctional Materials and Composites XII, vol. 10596, p. 105961D. International Society for Optics and Photonics, 2018.

In preparation: