Yanlai Chen

Publication Activity (10 Years)

Years Active: 2007-2024
Publications (10 Years): 27

Top Topics

Error Estimation

Partial Differential Equations

Top Venues

J. Sci. Comput.

J. Comput. Phys.

Comput. Math. Appl.

Publications

Yanlai Chen, Yajie Ji, Akil Narayan, Zhenli Xu
TGPT-PINN: Nonlinear model reduction with transformed GPT-PINNs. CoRR (2024)
Shijin Hou, Yanlai Chen, Yinhua Xia
A reduced basis warm-start iterative solver for the parameterized systems. CoRR (2023)
Yajie Ji, Lijie Ji, Yanlai Chen, Zhenli Xu
MCMS-RBM: Multi-Component Multi-State Reduced Basis Method toward Efficient Transition Pathway Identification for Crystals and Quasicrystals. CoRR (2023)
Yanlai Chen, Shawn Koohy
GPT-PINN: Generative Pre-Trained Physics-Informed Neural Networks toward non-intrusive Meta-learning of parametric PDEs. CoRR (2023)
Yanlai Chen, Bo Dong, Rebecca Pereira
A new conservative discontinuous Galerkin method via implicit penalization for the generalized KdV equation. CoRR (2022)
Yanlai Chen, Lijie Ji, Zhu Wang
A hyper-reduced MAC scheme for the parametric Stokes and Navier-Stokes equations. J. Comput. Phys. 466 (2022)
Shijin Hou, Yanlai Chen, Yinhua Xia
Fast $L^2$ Optimal Mass Transport via Reduced Basis Methods for the Monge-Ampère Equation. SIAM J. Sci. Comput. 44 (6) (2022)
Zhichao Peng, Yanlai Chen, Yingda Cheng, Fengyan Li
A micro-macro decomposed reduced basis method for the time-dependent radiative transfer equation. CoRR (2022)
Zhichao Peng, Yanlai Chen, Yingda Cheng, Fengyan Li
A Reduced Basis Method for Radiative Transfer Equation. J. Sci. Comput. 91 (1) (2022)
Yanlai Chen, Bo Dong, Rebecca Pereira
A New Conservative Discontinuous Galerkin Method via Implicit Penalization for the Generalized Korteweg-de Vries Equation. SIAM J. Numer. Anal. 60 (6) (2022)
Yanlai Chen, Lijie Ji, Akil Narayan, Zhenli Xu
L1-Based Reduced Over Collocation and Hyper Reduction for Steady State and Time-Dependent Nonlinear Equations. J. Sci. Comput. 87 (1) (2021)
Yanlai Chen, Lijie Ji, Zhu Wang
A hyper-reduced MAC scheme for the parametric Stokes and Navier-Stokes equations. CoRR (2021)
Zhichao Peng, Yanlai Chen, Yingda Cheng, Fengyan Li
A reduced basis method for radiative transfer equation. CoRR (2021)
Shijin Hou, Yanlai Chen, Yinhua Xia
optimal mass transport via reduced basis methods for the Monge-Ampère equation. CoRR (2021)
Yanlai Chen, Sigal Gottlieb, Lijie Ji, Yvon Maday
An EIM-degradation free reduced basis method via over collocation and residual hyper reduction-based error estimation. J. Comput. Phys. 444 (2021)
Yanlai Chen, Sigal Gottlieb, Lijie Ji, Yvon Maday
An EIM-degradation free reduced basis method via over collocation and residual hyper reduction-based error estimation. CoRR (2021)
Yanlai Chen, Lijie Ji, Akil Narayan, Zhenli Xu
L1-based reduced over collocation and hyper reduction for steady state and time-dependent nonlinear equations. CoRR (2020)
Jiahua Jiang, Yanlai Chen
Multi-level adaptive greedy algorithms for the reduced basis method. CoRR (2019)
Yong Liu, Tianheng Chen, Yanlai Chen, Chi-Wang Shu
Certified Offline-Free Reduced Basis (COFRB) Methods for Stochastic Differential Equations Driven by Arbitrary Types of Noise. J. Sci. Comput. 81 (3) (2019)
Yanlai Chen, Sigal Gottlieb, Lijie Ji, Yvon Maday, Zhenli Xu
L1-ROC and R2-ROC: L1- and R2-based Reduced Over-Collocation methods for parametrized nonlinear partial differential equations. CoRR (2019)
Harbir Antil, Yanlai Chen, Akil Narayan
Reduced Basis Methods for Fractional Laplace Equations via Extension. SIAM J. Sci. Comput. 41 (6) (2019)
Yanlai Chen, Jiahua Jiang, Akil Narayan
A robust error estimator and a residual-free error indicator for reduced basis methods. Comput. Math. Appl. 77 (7) (2019)
Yanlai Chen, Bo Dong, Chi-Wang Shu
A Foreword to the Special Issue in Honor of Professor Bernardo Cockburn on His 60th Birthday: A Life Time of Discontinuous Schemings. J. Sci. Comput. 77 (3) (2018)
Jiahua Jiang, Yanlai Chen, Akil Narayan
Offline-Enhanced Reduced Basis Method Through Adaptive Construction of the Surrogate Training Set. J. Sci. Comput. 73 (2-3) (2017)
Jiahua Jiang, Yanlai Chen, Akil Narayan
A Goal-Oriented Reduced Basis Methods-Accelerated Generalized Polynomial Chaos Algorithm. SIAM/ASA J. Uncertain. Quantification 4 (1) (2016)
Yanlai Chen, Bernardo Cockburn, Bo Dong
Superconvergent HDG methods for linear, stationary, third-order equations in one-space dimension. Math. Comput. 85 (302) (2016)
Yanlai Chen, Sigal Gottlieb, Alfa R. H. Heryudono, Akil Narayan
A Reduced Radial Basis Function Method for Partial Differential Equations on Irregular Domains. J. Sci. Comput. 66 (1) (2016)
Miriam Perkins, Yanlai Chen
Using visualization and analysis with efficient dimension Reduction to determine underlying factors in hospital inpatient procedure costs. VAST (2015)
Yanlai Chen
Reduced basis decomposition: A certified and fast lossy data compression algorithm. Comput. Math. Appl. 70 (10) (2015)
Yanlai Chen
Reduced Basis Decomposition: a Certified and Fast Lossy Data Compression Algorithm. CoRR (2015)
Yanlai Chen, Bernardo Cockburn
Analysis of variable-degree HDG methods for Convection-Diffusion equations. Part II: Semimatching nonconforming meshes. Math. Comput. 83 (285) (2014)
Yanlai Chen, Sigal Gottlieb
Reduced Collocation Methods: Reduced Basis Methods in the Collocation Framework. J. Sci. Comput. 55 (3) (2013)
Yanlai Chen, Jan S. Hesthaven, Yvon Maday, Jerónimo Rodríguez
Certified Reduced Basis Methods and Output Bounds for the Harmonic Maxwell's Equations. SIAM J. Sci. Comput. 32 (2) (2010)
Yanlai Chen, Bernardo Cockburn
An adaptive high-order discontinuous Galerkin method with error control for the Hamilton-Jacobi equations. Part I: The one-dimensional steady state case. J. Comput. Phys. 226 (1) (2007)