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 145 articles , 1 standard article )

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  1. Garau, Eduardo M.; Vázquez, Rafael: Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines (2018)
  2. Hofer, Christoph: Analysis of discontinuous Galerkin dual-primal isogeometric tearing and interconnecting methods (2018)
  3. Bracco, Cesare; Giannelli, Carlotta; Sestini, Alessandra: Adaptive scattered data fitting by extension of local approximations to hierarchical splines (2017)
  4. Buffa, Annalisa; Giannelli, Carlotta: Adaptive isogeometric methods with hierarchical splines: optimality and convergence rates (2017)
  5. Dimitri, Rossana; Zavarise, Giorgio: Isogeometric treatment of frictional contact and mixed mode debonding problems (2017)
  6. Feischl, Michael; Gantner, Gregor; Haberl, Alexander; Praetorius, Dirk: Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations (2017)
  7. Gantner, Gregor; Haberlik, Daniel; Praetorius, Dirk: Adaptive IGAFEM with optimal convergence rates: hierarchical B-splines (2017)
  8. Pan, Maodong; Tong, Weihua; Chen, Falai: Phase-field guided surface reconstruction based on implicit hierarchical B-splines (2017)
  9. Speleers, Hendrik: Hierarchical spline spaces: quasi-interpolants and local approximation estimates (2017)
  10. Zhu, Yuanpeng; Chen, Falai: Modified bases of PHT-splines (2017)
  11. Zulian, Patrick; Schneider, Teseo; Hormann, Kai; Krause, Rolf: Parametric finite elements with bijective mappings (2017)
  12. Beirão da Veiga, L.; Buffa, A.; Sangalli, G.; Vázquez, R.: An introduction to the numerical analysis of isogeometric methods (2016)
  13. Bracco, Cesare; Giannelli, Carlotta; Mazzia, Francesca; Sestini, Alessandra: Bivariate hierarchical Hermite spline quasi-interpolation (2016)
  14. Buffa, Annalisa; Garau, Eduardo M.; Giannelli, Carlotta; Sangalli, Giancarlo: On quasi-interpolation operators in spline spaces (2016)
  15. Chi, Sheng-Wei; Lin, Shih-Po: Meshfree analysis with the aid of NURBS boundary (2016)
  16. Estellers, V.; Scott, M.A.; Soatto, S.: Robust surface reconstruction (2016)
  17. Jang, Bongsoo; Kim, Hyunju; Oh, Hae-Soo; Kim, Sinae: Partition of unity isogeometric analysis of two dimensional elliptic singular perturbation problems (2016)
  18. Kang, Hongmei; Li, Xin; Chen, Falai; Deng, Jiansong: Truncated hierarchical loop subdivision surfaces and application in isogeometric analysis (2016)
  19. Lai, Yicong; Liu, Lei; Zhang, Yongjie Jessica; Chen, Joshua; Fang, Eugene; Lua, Jim: Rhino 3D to Abaqus: a T-spline based isogeometric analysis software framework (2016)
  20. Li, Jie; Dault, Daniel; Liu, Beibei; Tong, Yiying; Shanker, Balasubramaniam: Subdivision based isogeometric analysis technique for electric field integral equations for simply connected structures (2016)

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