9 citations · 26 across the 10 of their papers we have counts for
9 papers · 1 filter
Nonlinear Model Order Reduction on Quadratic Manifolds via Greedy Algorithms with Dimension-Dependent Regularization
Lijie Ji, Sabrina Rashid, Yanlai Chen +1
Traditional projection-based reduced-order modeling approximates the full-order model by projecting it onto a linear subspace. With a fast-decaying Kolmogorov -width of the solu…
AAROC: Reduced Over-Collocation Method with Adaptive Time Partitioning and Adaptive Enrichment for Parametric Time-Dependent Equations
Lijie Ji, Zhichao Peng, Yanlai Chen
Nonlinear and nonaffine terms in parametric partial differential equations can potentially lead to a computational cost of a reduced order model (ROM) that is comparable to the cos…
MCMS-RBM: Multi-Component Multi-State Reduced Basis Method toward Efficient Transition Pathway Identification for Crystals and Quasicrystals
Yajie Ji, Lijie Ji, Yanlai Chen +1
Due to quasicrystals having long-range orientational order but without translational symmetry, traditional numerical methods usually suffer when applied as is. In the past decade,…
Asymptotic analysis on charging dynamics for stack-electrode model of supercapacitors
Lijie Ji, Zhenli Xu, Shenggao Zhou
Supercapacitors are promising electrochemical energy storage devices due to their prominent performance in rapid charging/discharging rates, long cycle life, stability, etc. Experi…
A hyper-reduced MAC scheme for the parametric Stokes and Navier-Stokes equations
Yanlai Chen, Lijie Ji, Zhu Wang
The need for accelerating the repeated solving of certain parametrized systems motivates the development of more efficient reduced order methods. The classical reduced basis method…
An EIM-degradation free reduced basis method via over collocation and residual hyper reduction-based error estimation
Yanlai Chen, Sigal Gottlieb, Lijie Ji +1
The need for multiple interactive, real-time simulations using different parameter values has driven the design of fast numerical algorithms with certifiable accuracies. The reduce…
L1-based reduced over collocation and hyper reduction for steady state and time-dependent nonlinear equations
Yanlai Chen, Lijie Ji, Akil Narayan +1
The task of repeatedly solving parametrized partial differential equations (pPDEs) in, e.g. optimization or interactive applications, makes it imperative to design highly efficient…
L1-ROC and R2-ROC: L1- and R2-based Reduced Over-Collocation methods for parametrized nonlinear partial differential equations
Yanlai Chen, Sigal Gottlieb, Lijie Ji +2
The onerous task of repeatedly resolving certain parametrized partial differential equations (pPDEs) in, e.g. the optimization context, makes it imperative to design vastly more ef…
A reduced basis method for the nonlinear Poisson-Boltzmann equation
Lijie Ji, Yanlai Chen, Zhenli Xu
In numerical simulations of many charged systems at the micro/nano scale, a common theme is the repeated solution of the Poisson-Boltzmann equation. This task proves challenging, i…