A tutorial 2D MATLAB code for solving elliptic diffusion-type problems, including Poisson’s equation on single patch geometries, is presented. The basic steps of Isogeometric Analysis are explained and two examples are given. The code has a very lean structure and has been kept as simple as possible, such that the analogy but also the differences to traditional finite element analysis become apparent. It is not intended for large-scale problems.

References in zbMATH (referenced in 300 articles , 1 standard article )

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  1. Bracco, Cesare; Cho, Durkbin; Giannelli, Carlotta; Vázquez, Rafael: BPX preconditioners for isogeometric analysis using (truncated) hierarchical B-splines (2021)
  2. Chen, Lin; Li, Bin; de Borst, René: The use of Powell-Sabin B-splines in a higher-order phase-field model for crack kinking (2021)
  3. Ding, Chensen; Tamma, Kumar K.; Lian, Haojie; Ding, Yanjun; Dodwell, Timothy J.; Bordas, Stéphane P. A.: Uncertainty quantification of spatially uncorrelated loads with a reduced-order stochastic isogeometric method (2021)
  4. Dortdivanlioglu, Berkin; Javili, Ali: Boundary viscoelasticity theory at finite deformations and computational implementation using isogeometric analysis (2021)
  5. Ni, Qian; Deng, Jiansong; Wang, Xuhui: An adaptive collocation method with weighted extended PHT-splines (2021)
  6. Pan, Maodong; Jüttler, Bert; Mantzaflaris, Angelos: Efficient matrix assembly in isogeometric analysis with hierarchical B-splines (2021)
  7. Xu, Chuang; Dong, Chunying; Dai, Rui: RI-IGABEM based on PIM in transient heat conduction problems of FGMs (2021)
  8. Yu, Bo; Cao, Geyong; Huo, Wendong; Zhou, Huanlin; Atroshchenko, Elena: Isogeometric dual reciprocity boundary element method for solving transient heat conduction problems with heat sources (2021)
  9. Actis, Marcelo; Morin, Pedro; Pauletti, M. Sebastian: A new perspective on hierarchical spline spaces for adaptivity (2020)
  10. Al Balushi, Ibrahim; Jiang, Wen; Tsogtgerel, Gantumur; Kim, Tae-Yeon: A posteriori analysis of a B-spline based finite-element method for the stationary quasi-geostrophic equations of the ocean (2020)
  11. Antolin, Pablo; Buffa, Annalisa; Coradello, Luca: A hierarchical approach to the \textitaposteriori error estimation of isogeometric Kirchhoff plates and Kirchhoff-Love shells (2020)
  12. Bastl, Bohumír; Michálková, Kristýna: Automatic generators of multi-patch B-spline meshes of blade cascades and their comparison (2020)
  13. Bracco, Cesare; Giannelli, Carlotta; Kapl, Mario; Vázquez, Rafael: Isogeometric analysis with (C^1) hierarchical functions on planar two-patch geometries (2020)
  14. Chen, Leilei; Lu, Chuang; Lian, Haojie; Liu, Zhaowei; Zhao, Wenchang; Li, Shengze; Chen, Haibo; Bordas, Stéphane P. A.: Acoustic topology optimization of sound absorbing materials directly from subdivision surfaces with isogeometric boundary element methods (2020)
  15. Coradello, Luca; Antolin, Pablo; Vázquez, Rafael; Buffa, Annalisa: Adaptive isogeometric analysis on two-dimensional trimmed domains based on a hierarchical approach (2020)
  16. Coradello, Luca; D’Angella, Davide; Carraturo, Massimo; Kiendl, Josef; Kollmannsberger, Stefan; Rank, Ernst; Reali, Alessandro: Hierarchically refined isogeometric analysis of trimmed shells (2020)
  17. Ding, Chensen; Deokar, Rohit R.; Lian, Haojie; Ding, Yanjun; Li, Guangyao; Cui, Xiangyang; Tamma, Kumar K.; Bordas, Stéphane P. A.: Resolving high frequency issues via proper orthogonal decomposition based dynamic isogeometric analysis for structures with dissimilar materials (2020)
  18. Du, Xiaoxiao; Zhao, Gang; Wang, Wei; Guo, Mayi; Zhang, Ran; Yang, Jiaming: NLIGA: a MATLAB framework for nonlinear isogeometric analysis (2020)
  19. Engvall, Luke; Evans, John A.: Mesh quality metrics for isogeometric Bernstein-Bézier discretizations (2020)
  20. Gantner, Gregor; Praetorius, Dirk: Adaptive IGAFEM with optimal convergence rates: T-splines (2020)

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