ISOGAT

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 123 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. Bracco, Cesare; Giannelli, Carlotta; Sestini, Alessandra: Adaptive scattered data fitting by extension of local approximations to hierarchical splines (2017)
  3. Feischl, Michael; Gantner, Gregor; Haberl, Alexander; Praetorius, Dirk: Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations (2017)
  4. Pan, Maodong; Tong, Weihua; Chen, Falai: Phase-field guided surface reconstruction based on implicit hierarchical B-splines (2017)
  5. Speleers, Hendrik: Hierarchical spline spaces: quasi-interpolants and local approximation estimates (2017)
  6. Beirão da Veiga, L.; Buffa, A.; Sangalli, G.; Vázquez, R.: An introduction to the numerical analysis of isogeometric methods (2016)
  7. Bracco, Cesare; Giannelli, Carlotta; Mazzia, Francesca; Sestini, Alessandra: Bivariate hierarchical Hermite spline quasi-interpolation (2016)
  8. Buffa, Annalisa; Garau, Eduardo M.; Giannelli, Carlotta; Sangalli, Giancarlo: On quasi-interpolation operators in spline spaces (2016)
  9. Chi, Sheng-Wei; Lin, Shih-Po: Meshfree analysis with the aid of NURBS boundary (2016)
  10. Estellers, V.; Scott, M.A.; Soatto, S.: Robust surface reconstruction (2016)
  11. Kang, Hongmei; Li, Xin; Chen, Falai; Deng, Jiansong: Truncated hierarchical loop subdivision surfaces and application in isogeometric analysis (2016)
  12. 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)
  13. 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)
  14. Li, Xin; Chen, Falai; Kang, Hongmei; Deng, Jiansong: A survey on the local refinable splines (2016)
  15. Speleers, Hendrik; Manni, Carla: Effortless quasi-interpolation in hierarchical spaces (2016)
  16. Zore, Urška; Jüttler, Bert; Kosinka, Jiří: On the linear independence of truncated hierarchical generating systems (2016)
  17. Awanou, Gerard: Spline element method for Monge-Ampère equations (2015)
  18. Bouclier, Robin; Elguedj, Thomas; Combescure, Alain: An isogeometric locking-free NURBS-based solid-shell element for geometrically nonlinear analysis (2015)
  19. Cavallini, Nicola; Weeger, Oliver; Pauletti, M.Sebastian; Martinelli, Massimiliano; Antolín, Pablo: Effective integration of sophisticated operators in isogeometric analysis with igatools (2015)
  20. Jiang, Wen; Dolbow, John E.: Adaptive refinement of hierarchical B-spline finite elements with an efficient data transfer algorithm (2015)

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