THB-splines: The truncated basis for hierarchical splines

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Giannelli, Carlotta, et al. “THB-Splines: The Truncated Basis for Hierarchical Splines”. Computer Aided Geometric Design, vol. 29, no. 7, 2012, pp. 485-98, https://doi.org/10.1016/j.cagd.2012.03.025.
Giannelli, C., Jüttler, B., & Speleers, H. (2012). THB-splines: The truncated basis for hierarchical splines. Computer Aided Geometric Design, 29(7), 485-498. https://doi.org/10.1016/j.cagd.2012.03.025
Giannelli, Carlotta, Bert Jüttler, and Hendrik Speleers. “THB-Splines: The Truncated Basis for Hierarchical Splines”. Computer Aided Geometric Design 29, no. 7 (2012): 485-98. https://doi.org/10.1016/j.cagd.2012.03.025.
Giannelli C, Jüttler B, Speleers H. THB-splines: The truncated basis for hierarchical splines. Computer Aided Geometric Design. 2012;29(7):485-98.
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Refrences
Title Journal Journal Categories Citations Publication Date
On linear independence of T-spline blending functions Computer Aided Geometric Design
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
159 2012
Local refinement of analysis-suitable T-splines 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
255 2012
Enhancing isogeometric analysis by a finite element-based local refinement strategy 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
27 2012
A hierarchical approach to adaptive local refinement in isogeometric analysis 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
297 2011
Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids 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
207 2011
Refrences Analysis
The category Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software 8 is the most frequently represented among the references in this article. It primarily includes studies from ACM Transactions on Graphics and Graphical Models. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
Goal-adaptive Meshing of Isogeometric Kirchhoff–Love Shells

Engineering with Computers
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Technology: Mechanical engineering and machinery
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
2024
Isogeometric analysis of architected materials and structures Engineering with Computers
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Technology: Mechanical engineering and machinery
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
2024
A Shape Derivative Approach to Domain Simplification Computer-Aided Design
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  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware
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1 2024
Full-LSPIA: A Least-Squares Progressive-Iterative Approximation Method with Optimization of Weights and Knots for NURBS Curves and Surfaces Computer-Aided Design
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  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware
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2 2024
An adaptive collocation method on implicit domains using weighted extended THB-splines Computer Aided Geometric Design
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
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  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
2024
Citations Analysis
Category Category Repetition
Science: Mathematics186
Science: Mathematics: Instruments and machines: Electronic computers. Computer science176
Technology: Engineering (General). Civil engineering (General)156
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics125
Technology: Mechanical engineering and machinery125
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods90
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software69
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware68
Science: Chemistry10
Science: Physics9
Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials9
Technology: Chemical technology6
Science5
Technology: Technology (General)4
Science: Geology3
Science: Mathematics: Instruments and machines3
Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases2
Science: Physics: Optics. Light2
Technology: Technology (General): Industrial engineering. Management engineering2
Technology: Engineering (General). Civil engineering (General): Engineering geology. Rock mechanics. Soil mechanics. Underground construction2
Science: Science (General)2
Science: Physics: Descriptive and experimental mechanics2
Science: Chemistry: Physical and theoretical chemistry1
Science: Chemistry: General. Including alchemy1
Geography. Anthropology. Recreation: Environmental sciences1
Geography. Anthropology. Recreation: Geography (General)1
Technology: Photography1
Science: Chemistry: Analytical chemistry1
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks1
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics1
Technology: Engineering (General). Civil engineering (General): Applied optics. Photonics1
Technology: Manufactures1
Science: Biology (General)1
Technology1
The category Science: Mathematics 186 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled IETI – Isogeometric Tearing and Interconnecting and was published in 2012. The most recent citation comes from a 2024 study titled Isogeometric analysis of architected materials and structures. This article reached its peak citation in 2022, with 42 citations. It has been cited in 77 different journals, 18% of which are open access. Among related journals, the Computer Methods in Applied Mechanics and Engineering cited this research the most, with 86 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year