research
∙
09/06/2023
Fast time-stepping discontinuous Galerkin method for the subdiffusion equation
The nonlocality of the fractional operator causes numerical difficulties...
share
research
∙
08/28/2023
Partition-Insensitive Parallel ADMM Algorithm for High-dimensional Linear Models
The parallel alternating direction method of multipliers (ADMM) algorith...
research
∙
05/12/2023
α-robust error estimates of general non-uniform time-step numerical schemes for reaction-subdiffusion problems
Numerous error estimates have been carried out on various numerical sche...
research
∙
04/15/2023
Error estimates of invariant-preserving difference schemes for the rotation-two-component Camassa–Holm system with small energy
A rotation-two-component Camassa-Holm (R2CH) system was proposed recentl...
research
∙
06/24/2022
Nonconforming finite element approximations and the analysis of Nitsche's method for a singularly perturbed quad-curl problem in three dimensions
We introduce and analyze a robust nonconforming finite element method fo...
research
∙
06/24/2022
A new family of nonconforming elements with H(curl)-continuity for the three-dimensional quad-curl problem
We propose and analyze a new family of nonconforming finite elements for...
research
∙
06/17/2022
Nonconforming finite elements for the Brinkman and -curlΔ curl problems on cubical meshes
We propose two families of nonconforming elements on cubical meshes: one...
research
∙
06/08/2022
H(curl^2) conforming element for Maxwell's transmission eigenvalue problem using fixed-point approach
Using newly developed H(curl^2) conforming elements, we solve the Maxwel...
research
∙
06/08/2022
An hp-version interior penalty discontinuous Galerkin method for the quad-curl eigenvalue problem
An hp-version interior penalty discontinuous Galerkin (IPDG) method unde...
research
∙
12/27/2021
Weighted and shifted BDF3 methods on variable grids for a parabolic problem
As is well known, the stability of the 3-step backward differentiation f...
research
∙
10/24/2021
Spurious solutions for high order curl problems
We investigate numerical solutions of high order curl problems with vari...
research
∙
09/27/2021
Improving Stack Overflow question title generation with copying enhanced CodeBERT model and bi-modal information
Context: Stack Overflow is very helpful for software developers who are ...
research
∙
09/26/2021
A Parallel-in-Time Preconditioner for the Schur Complement of Parabolic Optimal Control Problems
For optimal control problems constrained by a initial-valued parabolic P...
research
∙
09/17/2021
Hierarchy-Aware T5 with Path-Adaptive Mask Mechanism for Hierarchical Text Classification
Hierarchical Text Classification (HTC), which aims to predict text label...
research
∙
08/08/2021
FE-Holomorphic Operator Function Method for Nonlinear Plate Vibrations with Elastically Added Masses
Vibrations of structures subjected to concentrated point loads have many...
research
∙
07/18/2021
Solving Biharmonic Eigenvalue Problem With Navier Boundary Condition Via Poisson Solvers On Non-Convex Domains
It is well known that the usual mixed method for solving the biharmonic ...
research
∙
05/16/2021
Sparse Spectral-Galerkin Method on An Arbitrary Tetrahedron Using Generalized Koornwinder Polynomials
In this paper, we propose a sparse spectral-Galerkin approximation schem...
research
∙
03/16/2021
H(curl^2)-conforming quadrilateral spectral element method for quad-curl problems
In this paper, we propose an H(curl^2)-conforming quadrilateral spectral...
research
∙
03/13/2021
A C^1-conforming Petrov-Galerkin method for convection-diffusion equations and superconvergence ananlysis over rectangular meshes
In this paper, a new C^1-conforming Petrov-Galerkin method for convectio...
research
∙
03/08/2021
Unconditionally optimal convergence of an energy-conserving and linearly implicit scheme for nonlinear wave equations
In this paper, we present and analyze an energy-conserving and linearly ...
research
∙
02/07/2021
Mesh-robustness of the variable steps BDF2 method for the Cahn-Hilliard model
The two-step backward differential formula (BDF2) implicit method with u...
research
∙
12/22/2020
A C^0 finite element method for the biharmonic problem with Navier boundary conditions in a polygonal domain
In this paper, we study the biharmonic equation with the Navier boundary...
research
∙
10/23/2020
Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes
This article devotes to developing robust but simple correction techniqu...
research
∙
08/09/2020
A family of finite element Stokes complexes in three dimensions
We construct finite element Stokes complexes on tetrahedral meshes in th...
research
∙
07/20/2020
Curl-curl conforming elements on tetrahedra
In [24], we proposed H(curl^2)-conforming elements on both a triangle an...
research
∙
07/20/2020
Finite Element Calculation of Photonic Band Structures for Frequency Dependent Materials
We consider the calculation of the band structure of frequency dependent...
research
∙
07/19/2020
Three families of grad-div-conforming finite elements
Several smooth finite element de Rham complexes are constructed in three...
research
∙
07/02/2020
A priori and a posteriori error estimates for the quad-curl eigenvalue problem
In this paper, we propose a new family of H(curl^2)-conforming elements ...
research
∙
04/26/2020
Simple curl-curl-conforming finite elements in two dimensions
We construct smooth finite element de Rham complexes in two space dimens...
research
∙
02/06/2020
A C^1 Petrov-Galerkin method and Gauss collocation method for 1D general elliptic problems and superconvergence
In this paper, we present and study C^1 Petrov-Galerkin and Gauss colloc...
research
∙
01/28/2020
Characterizing and Understanding GCNs on GPU
Graph convolutional neural networks (GCNs) have achieved state-of-the-ar...
research
∙
01/15/2020
A new finite element approach for the Dirichlet eigenvalue problem
In this paper, we propose a new finite element approach, which is differ...
research
∙
01/07/2020
HyGCN: A GCN Accelerator with Hybrid Architecture
In this work, we first characterize the hybrid execution patterns of GCN...
research
∙
12/24/2019
Analysis of adaptive BDF2 scheme for diffusion equations
The variable two-step backward differentiation formula (BDF2) is revisit...
research
∙
11/19/2019
Finite element methods based on two families of novel second-order numerical formulas for the fractional Cable model
We apply two families of novel fractional θ-methods, the FBT-θ and FBN-θ...
research
∙
08/03/2019
The unified theory of shifted convolution quadrature for fractional calculus
The convolution quadrature theory is a systematic approach to analyse th...
research
∙
12/31/2018