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20182026
most citedA finite element method of the self-consistent field theory on general curved surfaces

5 citations · 5 across the 3 of their papers we have counts for

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math.NA2026

A Unified Variational Functional for Equidistribution and Alignment in Moving Mesh Adaptation

Wenbin Wang, Yunqing Huang, Huayi Wei

Existing variational mesh functionals often suffer from strong nonlinearity or dependence on empirical parameters.We propose a new variational functional for adaptive moving mesh g…

math.NA2023

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…

math.NA2023

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…

math.NA2021

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…

math.NA2020

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…