Guanglian Li

Publication Activity (10 Years)

Years Active: 2014-2024
Publications (10 Years): 25

Top Topics

Finite Element Methods

Subpixel Accuracy

Top Venues

J. Comput. Phys.

Multiscale Model. Simul.

J. Comput. Appl. Math.

Publications

Jiefei Yang, Guanglian Li
Gradient-enhanced sparse Hermite polynomial expansions for pricing and hedging high-dimensional American options. CoRR (2024)
Yueqi Wang, Guanglian Li
Dispersion relation reconstruction for 2D photonic crystals based on polynomial interpolation. J. Comput. Phys. 498 (2024)
Guanglian Li
Wavelet-based Edge Multiscale Parareal Algorithm for subdiffusion equations with heterogeneous coefficients in a large time domain. J. Comput. Appl. Math. 440 (2024)
Yueqi Wang, Richard V. Craster, Guanglian Li
An hp-Adaptive Sampling Algorithm for Dispersion Relation Reconstruction of 3D Photonic Crystals. CoRR (2024)
Yueqi Wang, Guanglian Li, Richard V. Craster
Dispersion relation reconstruction for 2D Photonic Crystals based on polynomial interpolation. CoRR (2023)
Shubin Fu, Eric T. Chung, Guanglian Li
Wavelet-based Edge Multiscale Finite Element Methods for Singularly Perturbed Convection-Diffusion Equations. CoRR (2023)
Yueqi Wang, Guanglian Li
An hp-Adaptive Sampling Algorithm on Dispersion Relation Reconstruction for 2D Photonic Crystals. CoRR (2023)
Guanglian Li
Wavelet-based Edge Multiscale Parareal Algorithm for subdiffusion equations with heterogeneous coefficients in a large time domain. CoRR (2023)
Jiefei Yang, Guanglian Li
On Sparse Grid Interpolation for American Option Pricing with Multiple Underlying Assets. CoRR (2023)
Seungchan Ko, Guanglian Li, Yi Yu
Quasi-Monte Carlo finite element approximation of the Navier-Stokes equations with initial data modeled by log-normal random fields. CoRR (2022)
Michael Griebel, Guanglian Li, Christian Rieger
On the Numerical Approximation of the Karhunen-Loève Expansion for Random Fields with Random Discrete Data. CoRR (2021)
Shubin Fu, Guanglian Li, Richard V. Craster, Sébastien Guenneau
Wavelet-based Edge Multiscale Finite Element Method for Helmholtz problems in perforated domains. Multiscale Model. Simul. 19 (4) (2021)
Guanglian Li, Jiuhua Hu
Wavelet-based edge multiscale parareal algorithm for parabolic equations with heterogeneous coefficients and rough initial data. J. Comput. Phys. 444 (2021)
Shubin Fu, Eric T. Chung, Guanglian Li
An Edge Multiscale Interior Penalty Discontinuous Galerkin method for heterogeneous Helmholtz problems with large varying wavenumber. J. Comput. Phys. 441 (2021)
Guanglian Li, Jiuhua Hu
Wavelet-based Edge Multiscale Parareal Algorithm for Parabolic Equations with Heterogeneous Coefficients. CoRR (2020)
Jiuhua Hu, Guanglian Li
Homogenization of time-fractional diffusion equations with periodic coefficients. J. Comput. Phys. 408 (2020)
Shubin Fu, Guanglian Li, Richard V. Craster, Sébastien Guenneau
Wavelet-based Edge Multiscale Finite Element Method for Helmholtz problems in perforated domains. CoRR (2019)
Guanglian Li
On the Convergence Rates of GMsFEMs for Heterogeneous Elliptic Problems Without Oversampling Techniques. Multiscale Model. Simul. 17 (2) (2019)
Michael Griebel, Guanglian Li
On the Numerical Approximation of the Karhunen-Loève Expansion for Lognormal Random Fields. CoRR (2019)
Shubin Fu, Eric T. Chung, Guanglian Li
Edge multiscale methods for elliptic problems with heterogeneous coefficients. J. Comput. Phys. 396 (2019)
Guanglian Li
Low-Rank Approximation to Heterogeneous Elliptic Problems. Multiscale Model. Simul. 16 (1) (2018)
Guanglian Li, Ke Shi
Upscaled HDG Methods for Brinkman Equations with High-Contrast Heterogeneous Coefficient. J. Sci. Comput. 77 (3) (2018)
Michael Griebel, Guanglian Li
On the Decay Rate of the Singular Values of Bivariate Functions. SIAM J. Numer. Anal. 56 (2) (2018)
Guanglian Li, Yifeng Xu
A Convergent Adaptive Finite Element Method for Cathodic Protection. Comput. Methods Appl. Math. 17 (1) (2017)
Victor M. Calo, Yalchin Efendiev, Juan Galvis, Guanglian Li
Randomized Oversampling for Generalized Multiscale Finite Element Methods. Multiscale Model. Simul. 14 (1) (2016)
Donald L. Brown, Yalchin Efendiev, Guanglian Li, Viktoria Savatorova
Homogenization of High-Contrast Brinkman Flows. Multiscale Model. Simul. 13 (2) (2015)
Juan Galvis, Guanglian Li, Ke Shi
A generalized multiscale finite element method for the Brinkman equation. J. Comput. Appl. Math. 280 (2015)
Eric T. Chung, Yalchin Efendiev, Guanglian Li
An adaptive GMsFEM for high-contrast flow problems. J. Comput. Phys. 273 (2014)