27 citations · 118 across the 26 of their papers we have counts for
6 papers · 1 filter
Low-cost non-iterative Sylvester solvers for dynamical low-rank approximation of reaction-diffusion equations
Joy Saha, Jun Yang, Peimeng Yin
In this work, we develop low-cost non-iterative Sylvester solvers for dynamical low-rank approximation of reaction-diffusion equations and incorporate them into a basis-update \& G…
Sparsely connected rank-inspired neural network
Yunqing Huang, Wu Su, Nianyu Yi +1
We propose a Sparsely Connected Rank-Inspired Neural Network (SCRINN) for function approximation and the numerical solution of partial differential equations (PDEs). By introducing…
A Convex Splitting Spectral Method for the Phase Field Crystal Equation: Energy Stability, Computational Stability Maps, and Three-Dimensional GPU Simulations
Saulo Orizaga, Peimeng Yin, Deep Choudhuri
We present an efficient Fourier spectral method based on the convex splitting framework of Eyre~\cite{eyre1998unconditionally} for the phase field crystal (PFC) equation. The propo…
A linear, fully decoupled, and unconditionally energy-stable SAV-FEM for the Cahn--Hilliard--Navier--Stokes model
Jinting Yang, Nianyu Yi, Peimeng Yin
In this paper, we develop a linear, fully decoupled, and unconditionally energy-stable fully discrete finite element scheme for the Cahn--Hilliard--Navier--Stokes (CHNS) system by…
A fully decoupled and structure-preserving relaxation Crank--Nicolson finite element method for Gross--Pitaevskii--Poisson model
Dongqian Li, Huini Liu, Yin Yang +1
We propose a fully decoupled, structure-preserving relaxation Crank--Nicolson finite element method (FEM) for the coupled Gross--Pitaevskii--Poisson (GPP) system modeling ultracold…
Towards finite element methods for fourth-order elliptic equation. Part I: general boundary conditions
Xihao Zhang, Hengguang Li, Nianyu Yi +1
This paper is part of a series developing finite element methods for fourth-order elliptic equations on polygonal domains. Here, we investigate how boundary conditions influe…