An adaptive GMsFEM for high-contrast flow problems. - Eric T. Chung 001; Yalchin Efendiev; Guanglian Li (J. Comput. Phys., 2014)

A generalized multiscale finite element method for the Brinkman equation. - Juan Galvis; Guanglian Li; Ke Shi 005 (J. Comput. Appl. Math., 2015)

Homogenization of High-Contrast Brinkman Flows. - Donald L. Brown; Yalchin Efendiev; Guanglian Li; Viktoria Savatorova (Multiscale Model. Simul., 2015)

Randomized Oversampling for Generalized Multiscale Finite Element Methods. - Victor M. Calo; Yalchin Efendiev; Juan Galvis; Guanglian Li (Multiscale Model. Simul., 2016)

A Convergent Adaptive Finite Element Method for Cathodic Protection. - Guanglian Li; Yifeng Xu (Comput. Methods Appl. Math., 2017)

Upscaled HDG Methods for Brinkman Equations with High-Contrast Heterogeneous Coefficient. - Guanglian Li; Ke Shi 005 (J. Sci. Comput., 2018)

Low-Rank Approximation to Heterogeneous Elliptic Problems. - Guanglian Li (Multiscale Model. Simul., 2018)

On the Decay Rate of the Singular Values of Bivariate Functions. - Michael Griebel; Guanglian Li (SIAM J. Numer. Anal., 2018)

On the Numerical Approximation of the Karhunen-Loève Expansion for Lognormal Random Fields. - Michael Griebel; Guanglian Li (CoRR, 2019)

Edge multiscale methods for elliptic problems with heterogeneous coefficients. - Shubin Fu; Eric T. Chung 001; Guanglian Li (J. Comput. Phys., 2019)

On the Convergence Rates of GMsFEMs for Heterogeneous Elliptic Problems Without Oversampling Techniques. - Guanglian Li (Multiscale Model. Simul., 2019)

Wavelet-based Edge Multiscale Parareal Algorithm for Parabolic Equations with Heterogeneous Coefficients. - Guanglian Li; Jiuhua Hu (CoRR, 2020)

Homogenization of time-fractional diffusion equations with periodic coefficients. - Jiuhua Hu; Guanglian Li (J. Comput. Phys., 2020)

On the Numerical Approximation of the Karhunen-Loève Expansion for Random Fields with Random Discrete Data. - Michael Griebel; Guanglian Li; Christian Rieger (CoRR, 2021)

An Edge Multiscale Interior Penalty Discontinuous Galerkin method for heterogeneous Helmholtz problems with large varying wavenumber. - Shubin Fu; Eric T. Chung 001; Guanglian Li (J. Comput. Phys., 2021)

Wavelet-based edge multiscale parareal algorithm for parabolic equations with heterogeneous coefficients and rough initial data. - Guanglian Li; Jiuhua Hu (J. Comput. Phys., 2021)

Wavelet-based Edge Multiscale Finite Element Method for Helmholtz problems in perforated domains. - Shubin Fu; Guanglian Li; Richard V. Craster; Sébastien Guenneau (Multiscale Model. Simul., 2021)

Quasi-Monte Carlo finite element approximation of the Navier-Stokes equations with initial data modeled by log-normal random fields. - Seungchan Ko; Guanglian Li; Yi Yu (CoRR, 2022)

Dispersion relation reconstruction for 2D Photonic Crystals based on polynomial interpolation. - Yueqi Wang; Guanglian Li; Richard V. Craster (CoRR, 2023)

Wavelet-based Edge Multiscale Finite Element Methods for Singularly Perturbed Convection-Diffusion Equations. - Shubin Fu; Eric T. Chung 001; Guanglian Li (CoRR, 2023)

An hp-Adaptive Sampling Algorithm on Dispersion Relation Reconstruction for 2D Photonic Crystals. - Yueqi Wang; Guanglian Li (CoRR, 2023)

HarD-CASDE: Segmentation And Lineage Tracking of HeLa Cells. - Fuyun He; Shengwen Chen; Huiling Feng; Guanglian Li (IJCNN, 2024)

DCF-Net: A Dual-Coding Fusion Network based on CNN and Transformer for Biomedical Image Segmentation. - Fuyun He; Haixing Song; Guanglian Li; Junyu Zhang (IJCNN, 2024)

On Edge Multiscale Space based Hybrid Schwarz Preconditioner for Helmholtz Problems with Large Wavenumbers. - Shubin Fu; Shihua Gong; Guanglian Li; Yueqi Wang (CoRR, 2024)

Edge multiscale finite element methods for semilinear parabolic problems with heterogeneous coefficients. - Leonardo A. Poveda; Shubin Fu; Guanglian Li; Eric T. Chung 001 (CoRR, 2024)

Predicting band structures for 2D Photonic Crystals via Deep Learning. - Yueqi Wang; Richard V. Craster; Guanglian Li (CoRR, 2024)

Dispersion relation reconstruction for 2D photonic crystals based on polynomial interpolation. - Yueqi Wang; Guanglian Li (J. Comput. Phys., 2024)

Wavelet-based Edge Multiscale Parareal Algorithm for subdiffusion equations with heterogeneous coefficients in a large time domain. - Guanglian Li (J. Comput. Appl. Math., 2024)

Skin lesion classification network based on improved MobileViT. - Fuyun He; Rongqing Wu; Xuqing Zeng; Haixing Song; Guanglian Li; Zhen Wei (Eng. Appl. Artif. Intell., 2025)

Neuron Segmentation via a Frequency and Spatial Domain-Integrated Encoder-Decoder Network. - Haixing Song; Xuqing Zeng; Guanglian Li; Rongqing Wu; Simin Liu; Fuyun He (Int. J. Intell. Syst., 2025)

On sparse grid interpolation for American option pricing with multiple underlying assets. - Jiefei Yang; Guanglian Li (J. Comput. Appl. Math., 2025)

An hp-adaptive sampling algorithm for dispersion relation reconstruction of 3D photonic crystals. - Yueqi Wang; Richard V. Craster; Guanglian Li (J. Comput. Phys., 2025)

Wavelet-Based Edge Multiscale Finite Element Methods for Singularly Perturbed Convection-Diffusion Equations. - Shubin Fu; Eric Chung; Guanglian Li (Multiscale Model. Simul., 2025)

Gradient-Enhanced Sparse Hermite Polynomial Expansions for Pricing and Hedging High-Dimensional American Options. - Jiefei Yang; Guanglian Li (SIAM J. Financial Math., 2025)

Adaptive Finite Element Approximations of the First Eigenpair Associated with ({p} )-Laplacian. - Guanglian Li; Jing Li; Julie Merten; Yifeng Xu; Shengfeng Zhu (SIAM J. Sci. Comput., 2025)

Adaptive Nonoverlapping Preconditioners for the Helmholtz Equation. - Yi Yu; Marcus Sarkis; Guanglian Li; Zhiwen Zhang (CoRR, 2025)

On the convergence analysis of MsFEM with oversampling: Interpolation error. - Guanglian Li (CoRR, 2025)

Adaptive Crouzeix-Raviart finite elements for the first eigenpair of p-Laplacian. - Guanglian Li; Yueqi Wang; Yifeng Xu (CoRR, 2025)