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 310 articles , 1 standard article )

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  1. Bastl, Bohumír; Slabá, Kristýna: Planar multi-patch domain parameterization for isogeometric analysis based on evolution of fat skeleton (2021)
  2. Bracco, Cesare; Cho, Durkbin; Giannelli, Carlotta; Vázquez, Rafael: BPX preconditioners for isogeometric analysis using (truncated) hierarchical B-splines (2021)
  3. 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)
  4. 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)
  5. Dortdivanlioglu, Berkin; Javili, Ali: Boundary viscoelasticity theory at finite deformations and computational implementation using isogeometric analysis (2021)
  6. Gao, Ruxin; Wang, Pan; Sun, Xianbo; Yang, Shaowei: Isogeometric boundary element analysis of liquid nonlinear sloshing in two dimensional rectangular tanks (2021)
  7. Isazadeh, Amir Reza; Shamloofard, Mansoor; Assempour, Ahmad: Some improvements on the one-step inverse isogeometric analysis by proposing a multi-step inverse isogeometric methodology in sheet metal stamping processes (2021)
  8. Jaiswal, Shashank: Isogeometric schemes in rarefied gas dynamics context (2021)
  9. Ni, Qian; Deng, Jiansong; Wang, Xuhui: An adaptive collocation method with weighted extended PHT-splines (2021)
  10. Pan, Maodong; Jüttler, Bert; Mantzaflaris, Angelos: Efficient matrix assembly in isogeometric analysis with hierarchical B-splines (2021)
  11. Temizer, İ.: Radial and three-dimensional nonlocal pseudopotential calculations in gradient-corrected Kohn-Sham density functional theory based on higher-order finite element methods (2021)
  12. Wei, Xiaodong; Marussig, Benjamin; Antolin, Pablo; Buffa, Annalisa: Immersed boundary-conformal isogeometric method for linear elliptic problems (2021)
  13. Xie, Xianda; Yang, Aodi; Jiang, Ning; Wang, Shuting: Topology optimization using fully adaptive truncated hierarchical B-splines (2021)
  14. Xu, Chuang; Dong, Chunying; Dai, Rui: RI-IGABEM based on PIM in transient heat conduction problems of FGMs (2021)
  15. 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)
  16. Actis, Marcelo; Morin, Pedro; Pauletti, M. Sebastian: A new perspective on hierarchical spline spaces for adaptivity (2020)
  17. Ahn, J. S.; Bluck, M. J.: Isogeometric analysis of the time-dependent incompressible MHD equations (2020)
  18. 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)
  19. Antolin, Pablo: Fast assembly of Galerkin matrices for 3D solid laminated composites using finite element and isogeometric discretizations (2020)
  20. Antolin, Pablo; Buffa, Annalisa; Coradello, Luca: A hierarchical approach to the \textitaposteriori error estimation of isogeometric Kirchhoff plates and Kirchhoff-Love shells (2020)

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