3 citations · 3 across the 5 of their papers we have counts for
5 papers
Analysis of continuous data assimilation with large (or even infinite) nudging parameters
Amanda Diegel, Xuejian Li, Leo G. Rebholz
This paper considers continuous data assimilation (CDA) in partial differential equation (PDE) discretizations where nudging parameters can be taken arbitrarily large. We prove tha…
Enhancing nonlinear solvers for the Navier-Stokes equations with continuous (noisy) data assimilation
Bosco Garcia-Archilla, Xuejian Li, Julia Novo +1
We consider nonlinear solvers for the incompressible, steady (or at a fixed time step for unsteady) Navier-Stokes equations in the setting where partial measurement data of the sol…
Accelerating and enabling convergence of nonlinear solvers for Navier-Stokes equations by continuous data assimilation
Xuejian Li, Elizabeth V. Hawkins, Leo G. Rebholz +1
This paper considers improving the Picard and Newton iterative solvers for the Navier-Stokes equations in the setting where data measurements or solution observations are available…
Uniqueness of Steady Navier-Stokes under Large Data by Continuous Data Assimilation
Xuejian Li
We propose a continuous data assimilation (CDA) method to address the uniqueness problem for steady Navier-Stokes equations(NSE). The CDA method incorporates spatial observations i…
EAA-Net: Rethinking the Autoencoder Architecture with Intra-class Features for Medical Image Segmentation
Shiqiang Ma, Xuejian Li, Jijun Tang +1
Automatic image segmentation technology is critical to the visual analysis. The autoencoder architecture has satisfying performance in various image segmentation tasks. However, au…