Concepedia

Analysis-suitable T-splines

Analysis-Suitable T-Splines is a refined class of T-Spline basis functions that belong to the broader category of spline-based geometric representations, distinguished by the imposition of constraints ensuring linear independence, partition of unity, and compatibility with standard finite element analysis, thereby enabling accurate and stable isogeometric simulations on locally refined meshes.

21

Publications

1.4K

Citations

37

Authors

28

Institutions

Publications per year

2017–2026

8

Parents

Publications

21

Local refinement of analysis-suitable T-splines

Xin Li, Thomas W. Sederberg, Thomas J.R. Hughes · Computer Methods in Applied Mechanics and Engineering · 2011 · 361 citations

, , +11

Analysis-suitable G 1 multi-patch parametrizations for C 1 isogeometric spaces

Annabelle Collin, Giancarlo Sangalli, Thomas Takacs · Computer Aided Geometric Design · 2016 · 142 citations · Full text

, , +6

Hierarchical T-splines: Analysis-suitability, Bézier extraction, and application as an adaptive basis for isogeometric analysis

Emily J. Evans, Xin Li, Derek C. Thomas · Computer Methods in Applied Mechanics and Engineering · 2014 · 117 citations · Full text

, , +16

Analysis-suitable T-splines: Characterization, refineability, and approximation

Xin Li · Mathematical Models and Methods in Applied Sciences · 2013 · 103 citations

, , +16

ANALYSIS-SUITABLE T-SPLINES OF ARBITRARY DEGREE: DEFINITION, LINEAR INDEPENDENCE AND APPROXIMATION PROPERTIES

L. Beirão da Veiga, Annalisa Buffa, Giancarlo Sangalli et al. · Mathematical Models and Methods in Applied Sciences · 2013 · 100 citations · Full text

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1–5 of 21

Authors

37

  1. YZ
    Yongjie Zhang

    Carnegie Mellon University, United States

    5 publications · 262 citations

    5

    h-index

  2. GS
    Giancarlo Sangalli

    University of Pavia, Italy

    4 publications · 354 citations

    4

    h-index

  3. XL
    Xin Li

    University of Science and Technology of China, China

    4 publications · 540 citations

    4

    h-index

  4. TJ
    Thomas J.R. Hughes

    The University of Texas at Austin, United States

    4 publications · 553 citations

    4

    h-index

  5. HC
    Hugo Casquero

    Carnegie Mellon University, United States

    4 publications · 246 citations

    4

    h-index

1–5 of 37

Institutions

28

  1. University of Science and Technology of China

    Hefei, China

    7 h-index

    9 publications

    767 citations

  2. University of Pavia

    Pavia, Italy

    5 h-index

    7 publications

    692 citations

  3. Istituto di Matematica Applicata e Tecnologie Informatiche

    Pavia, Italy

    5 h-index

    9 publications

    671 citations

  4. Carnegie Mellon University

    Pittsburgh, United States

    5 h-index

    13 publications

    732 citations

  5. École Polytechnique Fédérale de Lausanne

    Lausanne, Switzerland

    3 h-index

    3 publications

    169 citations

  6. Brigham Young University

    Provo, United States

    3 h-index

    5 publications

    815 citations

  7. Dongguk University

    Seoul, South Korea

    2 h-index

    2 publications

    105 citations

  8. University of Milan

    Milan, Italy

    2 h-index

    3 publications

    284 citations

1–8 of 28

Venues

  1. 7

    h-index

  2. Journal of Computational Mathematics

    2 publications · 29 citations

    2

    h-index

  3. 2

    h-index

  4. Computer Aided Geometric Design

    2 publications · 162 citations

    2

    h-index

  5. 1

    h-index

1–5