5 citations · 9 across the 10 of their papers we have counts for
10 papers
A Trace--Logarithmic Variational Functional for Equidistribution and Alignment in Moving Mesh Adaptation
Wenbin Wang, Yunqing Huang, Huayi Wei
Existing variational mesh functionals often require an empirical equidistribution--alignment weight or use a strongly nonlinear density. We propose a calibrated trace--logarithmic…
Conformal weldings in the Loewner equation and Weil--Petersson quasislit-disks
Fei Tao, Huaying Wei, Yaosong Yang
A simple arc , growing into the unit disk from its boundary, generates a driving term and a conformal welding through the Loewner differential equat…
Geometric Decomposition and Efficient Implementation of High Order Face and Edge Elements
Chunyu Chen, Long Chen, Xuehai Huang +1
This study investigates high-order face and edge elements in finite element methods, with a focus on their geometric attributes, indexing management, and practical application. The…
Anisotropic analysis of VEM for time-harmonic Maxwell equations in inhomogeneous media with low regularity
Chunyu Chen, Ruchi Guo, Huayi Wei
It has been extensively studied in the literature that solving Maxwell equations is very sensitive to the mesh structure, space conformity and solution regularity. Roughly speaking…
Virtual Element Methods Without Extrinsic Stabilization
Chunyu Chen, Xuehai Huang, Huayi Wei
Virtual element methods (VEMs) without extrinsic stabilization in arbitrary degree of polynomial are developed for second order elliptic problems, including a nonconforming VEM and…
An adaptive high-order surface finite element method for the self-consistent field theory on general curved surfaces
Kai Jiang, Xin Wang, Jianggang Liu +1
In this paper, we develop an adaptive high-order surface finite element method (FEM) incorporating the spectral deferred correction method for chain contour discretization to solve…
Piecewise Divergence-Free Nonconforming Virtual Elements for Stokes Problem in Any Dimensions
Huayi Wei, Xuehai Huang, Ao Li
Piecewise divergence-free nonconforming virtual elements are designed for Stokes problem in any dimensions. After introducing a local energy projector based on the Stokes problem a…
An adaptive virtual element method for the polymer self-consistent field theory
Huayi Wei, Xin Wang, Chunyu Chen +1
In this paper, we develop a high-order adaptive virtual element method (VEM) to simulate the self-consistent field theory (SCFT) model in arbitrary domains. The VEM is very flexibl…
A finite element method of the self-consistent field theory on general curved surfaces
Huayi Wei, Ming Xu, Wei Si +1
Block copolymers provide a wonderful platform in studying the soft condensed matter systems. Many fascinating ordered structures have been discovered in bulk and confined systems.…
Recovery based finite element method for biharmonic equation in two dimensional
Yunqing Huang, Huayi Wei, Wei Yang +1
We design and numerically validate a recovery based linear finite element method for solving the biharmonic equation. The main idea is to replace the gradient operator on…