60 citations · 68 across the 28 of their papers we have counts for
6 papers · 1 filter
Eigenvalue Asymptotics in High-Contrast Media
Huaian Diao, Long Li, Mourad Sini +1
We investigate the eigenfrequency asymptotics of a bounded acoustic cavity containing a shrinking high-contrast inclusion. This configuration is motivated by contrast-enhanced ultr…
Quantum Simulation of Stokes Flow via Schrödingerisation and Artificial Compressibility
Shi Jin, Jiaqi Tang, Qilong Zhai +1
Simulating incompressible Stokes flow is essential for studies in microfluidics and low-Reynolds number hydrodynamics. However, the computational cost of resolving the associated s…
The Immersed Discontinuous Galerkin Method for Elliptic Interface Problems
Lin Yang, Qilong Zhai
This paper is devoted to construction and convergence analysis of the linear explicit immersed finite element (IFE) function. For the interface elements, the proposed IFE functions…
The weak Galerkin method for a class of Gross-Pitaevskii type eigenvalue problems
Wei Lu, Qilong Zhai
This paper aims to employ the weak Galerkin method to solve a class of nonlinear eigenvalue problems. We proved the weak Galerkin scheme produces lower bound for the energy. Moreov…
Regularity Analysis and Tensor Neural Network Methods for Quasiperiodic Elliptic Equations
Jingze Ren, Yifan Wang, Hehu Xie +1
This paper investigates quasiperiodic elliptic equations using a well-established projection method, by which the original problem is reformulated as a degenerate periodic variatio…
Quasiperiodic Elliptic Operators: Projection Method and Convergence Analysis
Kai Jiang, Jiaqi Tang, Qilong Zhai +1
Quasiperiodic elliptic operators (QEOs) serve as fundamental models in both mathematics and physics, as exemplified by their role in the numerical modeling of one-dimensional photo…