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 207 articles , 1 standard article )

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  1. Ahn, Ji Soo; Bluck, Michael J.: Isogeometric analysis of the steady-state incompressible MHD equations (2019)
  2. Bracco, Cesare; Buffa, Annalisa; Giannelli, Carlotta; Vázquez, Rafael: Adaptive isogeometric methods with hierarchical splines: an overview (2019)
  3. Ni, Qian; Wang, Xuhui; Deng, Jiansong: Modified PHT-splines (2019)
  4. Qarariyah, Ammar; Yang, Tianhui; Deng, Jiansong: Solving higher order PDEs with isogeometric analysis on implicit domains using weighted extended THB-splines (2019)
  5. Wang, Wenpei; Chen, Guohai; Yang, Dixiong; Kang, Zhan: Stochastic isogeometric analysis method for plate structures with random uncertainty (2019)
  6. Atri, H. R.; Shojaee, S.: Meshfree truncated hierarchical refinement for isogeometric analysis (2018)
  7. Bracco, Cesare; Giannelli, Carlotta; Großmann, David; Sestini, Alessandra: Adaptive Fitting with THB-splines: error analysis and industrial applications (2018)
  8. Buffa, Annalisa; Garau, Eduardo M.: A posteriori error estimators for hierarchical B-spline discretizations (2018)
  9. Chan, C. L.; Anitescu, C.; Rabczuk, T.: Isogeometric analysis with strong multipatch (C^1)-coupling (2018)
  10. Garau, Eduardo M.; Vázquez, Rafael: Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines (2018)
  11. Hinz, J.; Möller, M.; Vuik, C.: Elliptic grid generation techniques in the framework of isogeometric analysis applications (2018)
  12. Hofer, Christoph: Analysis of discontinuous Galerkin dual-primal isogeometric tearing and interconnecting methods (2018)
  13. Im, Chan-Kyung; Youn, Sung-Kie: The generation of 3D trimmed elements for NURBS-based isogeometric analysis (2018)
  14. Matculevich, S.: Functional approach to the error control in adaptive IgA schemes for elliptic boundary value problems (2018)
  15. Pan, Maodong; Chen, Falai; Tong, Weihua: Low-rank parameterization of planar domains for isogeometric analysis (2018)
  16. Singh, N.; Verhoosel, C. V.; van Brummelen, E. H.: Finite element simulation of pressure-loaded phase-field fractures (2018)
  17. Xiao, Shiwei; Kang, Hongmei; Fu, Xiao-Ming; Chen, Falai: Computing IGA-suitable planar parameterizations by polysquare-enhanced domain partition (2018)
  18. Bracco, Cesare; Giannelli, Carlotta; Sestini, Alessandra: Adaptive scattered data fitting by extension of local approximations to hierarchical splines (2017)
  19. Buffa, Annalisa; Giannelli, Carlotta: Adaptive isogeometric methods with hierarchical splines: optimality and convergence rates (2017)
  20. Dimitri, Rossana; Zavarise, Giorgio: Isogeometric treatment of frictional contact and mixed mode debonding problems (2017)

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