4 papers
A Preconditioned Discontinuous Galerkin Method for Biharmonic Equation with -Reconstructed Approximation
Ruo Li, Qicheng Liu, Fanyi Yang
In this paper, we present a high-order finite element method based on a reconstructed approximation to the biharmonic equation. In our construction, the space is reconstructed from…
PKU-AIGIQA-4K: A Perceptual Quality Assessment Database for Both Text-to-Image and Image-to-Image AI-Generated Images
Jiquan Yuan, Fanyi Yang, Jihe Li +4
In recent years, image generation technology has rapidly advanced, resulting in the creation of a vast array of AI-generated images (AIGIs). However, the quality of these AIGIs is…
An unfitted finite element method with direct extension stabilization for time-harmonic Maxwell problems on smooth domains
Fanyi Yang, Xiaoping Xie
We propose an unfitted finite element method for numerically solving the time-harmonic Maxwell equations on a smooth domain. The model problem involves a Lagrangian multiplier to r…
An unfitted finite element method by direct extension for elliptic problems on domains with curved boundaries and interfaces
Fanyi Yang, Xiaoping Xie
We propose and analyze an unfitted finite element method for solving elliptic problems on domains with curved boundaries and interfaces. The approximation space on the whole domain…