Finite element spaces for HΛk on cubical meshes by piecewise Whitney forms

This paper constructs finite element spaces built from piecewise Whitney forms on cubical meshes. These spaces provide consistent approximations of H Λ k and implementable discretizations for H Λ k problems in ℝ 𝑛 , for 0 ≤ k ≤ n and n ≥ 2.

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Publication Details

Journal
Computers & Mathematics with Applications
Published
2026-10-09
DOI
https://doi.org/10.1016/j.camwa.2026.09.048
Primary Topic
Advanced Numerical Methods in Computational Mathematics
Type
article
Field-Weighted Citation Impact
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article

Finite element spaces for HΛk on cubical meshes by piecewise Whitney forms

Shuo Zhang
Computers & Mathematics with Applications
Advanced Numerical Methods in Computational Mathematics
article

Finite element spaces for HΛk on cubical meshes by piecewise Whitney forms

Shuo Zhang
article en

Abstract

This paper constructs finite element spaces built from piecewise Whitney forms on cubical meshes. These spaces provide consistent approximations of H Λ k and implementable discretizations for H Λ k problems in ℝ 𝑛 , for 0 ≤ k ≤ n and n ≥ 2.

Computers & Mathematics with ApplicationsVol. 223
Chinese Academy of Sciences (CN), Academy of Mathematics and Systems Science (CN), University of Chinese Academy of Sciences (CN)
Openalex Percentile: Top 18%
Advanced Numerical Methods in Computational Mathematics
DOIOpen Access PDFOpenAlex
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Finite element spaces for HΛk on cubical meshes by piecewise Whitney forms — Shuo Zhang · Computers & Mathematics with Applications (2026) | TGRS Research Map | TGRS