Sijing Liu
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Sijing Liu has a total of 5 co-authors. Here are the top co-authors by number of shared publications:
- Erik Burman
Department of Mathematics, University College London, London, United Kingdom
1 shared publication - Johnny Guzmán
Division of Applied Mathematics , Brown University , Box F, 182 George Street , Providence , RI 02912 , USA
1 shared publication - Miguel Angel Fernández
Sorbonne Universite & CNRS, UMR 7598 LJLL, Paris, France
1 shared publication - Rebecca Durst
Argonne National Laboratory, Lemont, USA
1 shared publication - Valeria Simoncini
Dipartimento di Matematica, AM2, Alma Mater Studiorum - Università di Bologna, Bologna, Italy
1 shared publication
Latest Publications
- 11 November 2024
- Published by Springer Nature in Journal of Scientific Computing
- Vol. 101 (3) , 1-26
Multigrid Preconditioning for Discontinuous Galerkin Discretizations of an Elliptic Optimal Control Problem with a Convection-Dominated State Equation
- 11 November 2024
- Published by Springer Nature in Journal of Scientific Computing
- Vol. 101 (3) , 1-26
Multigrid Preconditioning for Discontinuous Galerkin Discretizations of an Elliptic Optimal Control Problem with a Convection-Dominated State Equation
- 9 August 2024
- Published by Springer Nature in Numerical Algorithms
- Vol. 99 (2) , 921-948
Estimates of discrete time derivatives for the parabolic-parabolic Robin-Robin coupling method
- 9 August 2024
- Published by Springer Nature in Numerical Algorithms
- Vol. 99 (2) , 921-948
Estimates of discrete time derivatives for the parabolic-parabolic Robin-Robin coupling method
- 1 January 2024
- Published by Walter de Gruyter GmbH in Computational Methods in Applied Mathematics
- Vol. 25 (1) , 133-151
Robust Multigrid Methods for Discontinuous Galerkin Discretizations of an Elliptic Optimal Control Problem
We consider discontinuous Galerkin methods for an elliptic distributed optimal control problem, and we propose multigrid methods to solve the discretized system. We prove that the 𝑊-cycle algorithm is uniformly convergent in the energy norm and is robust with respect to a regularization parameter on convex domains. Numerical results are shown for both 𝑊-cycle and 𝑉-cycle algorithms.
- 1 January 2024
- Published by Walter de Gruyter GmbH in Computational Methods in Applied Mathematics
- Vol. 25 (1) , 133-151
Robust Multigrid Methods for Discontinuous Galerkin Discretizations of an Elliptic Optimal Control Problem
We consider discontinuous Galerkin methods for an elliptic distributed optimal control problem, and we propose multigrid methods to solve the discretized system. We prove that the 𝑊-cycle algorithm is uniformly convergent in the energy norm and is robust with respect to a regularization parameter on convex domains. Numerical results are shown for both 𝑊-cycle and 𝑉-cycle algorithms.