Complexes from Complexes

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Cite
Arnold, Douglas N., and Kaibo Hu. “Complexes from Complexes”. Foundations of Computational Mathematics, vol. 21, no. 6, 2021, pp. 1739-74, https://doi.org/10.1007/s10208-021-09498-9.
Arnold, D. N., & Hu, K. (2021). Complexes from Complexes. Foundations of Computational Mathematics, 21(6), 1739-1774. https://doi.org/10.1007/s10208-021-09498-9
Arnold DN, Hu K. Complexes from Complexes. Foundations of Computational Mathematics. 2021;21(6):1739-74.
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Refrences
Title Journal Journal Categories Citations Publication Date
A global div-curl-lemma for mixed boundary conditions in weak Lipschitz domains and a corresponding generalized A 0 * \mathrm{A}_{0}^{*} - A 1 \mathrm{A}_{1} -lemma in Hilbert spaces

Analysis
  • Science: Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
4 2019
Nodal finite element de Rham complexes Numerische Mathematik
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
26 2018
10.1137/16M1073662 2017
10.1137/15M1020113 2016
Differential Complexes in Continuum Mechanics Archive for Rational Mechanics and Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Technology: Mechanical engineering and machinery
  • Science: Mathematics
20 2015
Citations
Title Journal Journal Categories Citations Publication Date
New low-order mixed finite element methods for linear elasticity Advances in Computational Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2024
Finite Element Grad Grad Complexes and Elasticity Complexes on Cuboid Meshes Journal of Scientific Computing
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2024
Novel H(symCurl)-conforming finite elements for the relaxed micromorphic sequence Computer Methods in Applied Mechanics and Engineering
  • Technology: Engineering (General). Civil engineering (General)
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Technology: Mechanical engineering and machinery
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
2 2024
Polytopal templates for semi-continuous vectorial finite elements of arbitrary order on triangulations and tetrahedralizations Finite Elements in Analysis and Design
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
1 2024
Symmetric unisolvent equations for linear elasticity purely in stresses International Journal of Solids and Structures
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
2024
Citations Analysis
The category Science: Mathematics 19 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled A family of mixed finite elements for the biharmonic equations on triangular and tetrahedral grids and was published in 2021. The most recent citation comes from a 2024 study titled Discrete tensor product BGG sequences: Splines and finite elements. This article reached its peak citation in 2024, with 7 citations. It has been cited in 15 different journals, 6% of which are open access. Among related journals, the Mathematics of Computation cited this research the most, with 4 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year