1 citations · 2 across the 9 of their papers we have counts for
10 papers
Discrete Edge Multiscale Space based Hybrid Schwarz Preconditioner for High-Frequency Helmholtz Problems
Shubin Fu, Shihua Gong, Guanglian Li +1
In this work, we develop a novel hybrid Schwarz method, termed as edge multiscale space based hybrid Schwarz (EMs-HS), for solving the Helmholtz problem with large wavenumbers. The…
Numerical homogenization for indefinite time-harmonic Maxwell equations
Yueqi Wang, Wing Tat Leung, Guanglian Li
We propose a novel numerical homogenization method based on the edge multiscale approach for solving indefinite time-harmonic Maxwell equations in heterogeneous media with large wa…
A POD-DeepONet Framework for Forward and Inverse Design of 2D Photonic Crystals
Yueqi Wang, Guanglian Li, Guang Lin
We develop a reduced-order operator-learning framework for forward and inverse band-structure design of two-dimensional photonic crystals with binary, pixel-based -symmetric u…
Reduced-Basis Deep Operator Learning for Parametric PDEs with Independently Varying Boundary and Source Data
Yueqi Wang, Guang Lin
Parametric PDEs power modern simulation, design, and digital-twin systems, yet their many-query workloads still hinge on repeatedly solving large finite-element systems. Existing o…
Adaptive Crouzeix-Raviart finite elements for the first eigenpair of -Laplacian
Guanglian Li, Yueqi Wang, Yifeng Xu
In this paper, we propose and analyze an adaptive Crouzeix-Raviart finite element method for computing the first Dirichlet eigenpair of the -Laplacian problem. We prove that the…
Predicting band structures for 2D Photonic Crystals via Deep Learning
Yueqi Wang, Richard Craster, Guanglian Li
Photonic crystals (PhCs) are periodic dielectric structures that exhibit unique electromagnetic properties, such as the creation of band gaps where electromagnetic wave propagation…
On Edge Multiscale Space based Hybrid Schwarz Preconditioner for Helmholtz Problems with Large Wavenumbers
Shubin Fu, Shihua Gong, Guanglian Li +1
In this work, we develop a novel hybrid Schwarz method, termed as edge multiscale space based hybrid Schwarz (EMs-HS), for solving the Helmholtz problem with large wavenumbers. The…
An hp-Adaptive Sampling Algorithm for Dispersion Relation Reconstruction of 3D Photonic Crystals
Yueqi Wang, Richard Craster, Guanglian Li
In this work we investigate the computation of dispersion relation (i.e., band functions) for three-dimensional photonic crystals, formulated as a parameterized Maxwell eigenvalue…
An hp-Adaptive Sampling Algorithm on Dispersion Relation Reconstruction for 2D Photonic Crystals
Yueqi Wang, Guanglian Li
Computing the dispersion relation for two-dimensional photonic crystals is a notoriously challenging task: It involves solving parameterized Helmholtz eigenvalue problems with high…
Dispersion relation reconstruction for 2D Photonic Crystals based on polynomial interpolation
Yueqi Wang, Guanglian Li
Dispersion relation reflects the dependence of wave frequency on its wave vector when the wave passes through certain material. It demonstrates the properties of this material and…