3 papers
math.NA2024
Multigrid preconditioning for discontinuous Galerkin discretizations of an elliptic optimal control problem with a convection-dominated state equation
Sijing Liu, Valeria Simoncini
We consider discontinuous Galerkin methods for an elliptic distributed optimal control problem constrained by a convection-dominated problem. We prove global optimal convergence ra…
math.NA2024
Convergence analysis of novel discontinuous Galerkin methods for a convection dominated problem
Satyajith Bommana Boyana, Thomas Lewis, Sijing Liu +1
In this paper, we propose and analyze a numerically stable and convergent scheme for a convection-diffusion-reaction equation in the convection-dominated regime. Discontinuous Gale…
cs.CV2023
Instructive Feature Enhancement for Dichotomous Medical Image Segmentation
Lian Liu, Han Zhou, Jiongquan Chen +5
Deep neural networks have been widely applied in dichotomous medical image segmentation (DMIS) of many anatomical structures in several modalities, achieving promising performance.…