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 281 articles , 1 standard article )

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  1. Actis, Marcelo; Morin, Pedro; Pauletti, M. Sebastian: A new perspective on hierarchical spline spaces for adaptivity (2020)
  2. Antolin, Pablo; Buffa, Annalisa; Coradello, Luca: A hierarchical approach to the \textitaposteriori error estimation of isogeometric Kirchhoff plates and Kirchhoff-Love shells (2020)
  3. Bracco, Cesare; Giannelli, Carlotta; Kapl, Mario; Vázquez, Rafael: Isogeometric analysis with (C^1) hierarchical functions on planar two-patch geometries (2020)
  4. 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)
  5. Coradello, Luca; Antolin, Pablo; Vázquez, Rafael; Buffa, Annalisa: Adaptive isogeometric analysis on two-dimensional trimmed domains based on a hierarchical approach (2020)
  6. Coradello, Luca; D’Angella, Davide; Carraturo, Massimo; Kiendl, Josef; Kollmannsberger, Stefan; Rank, Ernst; Reali, Alessandro: Hierarchically refined isogeometric analysis of trimmed shells (2020)
  7. 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)
  8. Du, Xiaoxiao; Zhao, Gang; Wang, Wei; Guo, Mayi; Zhang, Ran; Yang, Jiaming: NLIGA: a MATLAB framework for nonlinear isogeometric analysis (2020)
  9. Gantner, Gregor; Praetorius, Dirk: Adaptive IGAFEM with optimal convergence rates: T-splines (2020)
  10. Hashemian, Ali; Lakzian, Esmail; Ebrahimi-Fizik, Amir: On the application of isogeometric finite volume method in numerical analysis of wet-steam flow through turbine cascades (2020)
  11. Hosseini, Seyed Farhad; Hashemian, Ali; Reali, Alessandro: Studies on knot placement techniques for the geometry construction and the accurate simulation of isogeometric spatial curved beams (2020)
  12. Ni, Qian; Wang, Xuhui; Deng, Jiansong: Modified basis functions for MPHT-splines (2020)
  13. Pan, Maodong; Chen, Falai; Tong, Weihua: Volumetric spline parameterization for isogeometric analysis (2020)
  14. Qarariyah, Ammar; Deng, Fang; Yang, Tianhui; Deng, Jiansong: Numerical solution for Schrödinger eigenvalue problem using isogeometric analysis on implicit domains (2020)
  15. Shamanskiy, Alexander; Gfrerer, Michael Helmut; Hinz, Jochen; Simeon, Bernd: Isogeometric parametrization inspired by large elastic deformation (2020)
  16. Tasora, Alessandro; Benatti, Simone; Mangoni, Dario; Garziera, Rinaldo: A geometrically exact isogeometric beam for large displacements and contacts (2020)
  17. Temizer, İ.; Motamarri, P.; Gavini, V.: NURBS-based non-periodic finite element framework for Kohn-Sham density functional theory calculations (2020)
  18. Videla, Javier; Contreras, Felipe; Nguyen, Hoang X.; Atroshchenko, Elena: Application of PHT-splines in bending and vibration analysis of cracked Kirchhoff -- Love plates (2020)
  19. Vo, Duy; Nanakorn, Pruettha: A total Lagrangian Timoshenko beam formulation for geometrically nonlinear isogeometric analysis of planar curved beams (2020)
  20. Xie, Xianda; Wang, Shuting; Xu, Manman; Jiang, Ning; Wang, Yingjun: A hierarchical spline based isogeometric topology optimization using moving morphable components (2020)

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