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 103 articles , 1 standard article )

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  1. Feischl, Michael; Gantner, Gregor; Haberl, Alexander; Praetorius, Dirk: Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations (2017)
  2. Bracco, Cesare; Giannelli, Carlotta; Mazzia, Francesca; Sestini, Alessandra: Bivariate hierarchical Hermite spline quasi-interpolation (2016)
  3. Chi, Sheng-Wei; Lin, Shih-Po: Meshfree analysis with the aid of NURBS boundary (2016)
  4. Estellers, V.; Scott, M.A.; Soatto, S.: Robust surface reconstruction (2016)
  5. 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)
  6. 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)
  7. Li, Xin; Chen, Falai; Kang, Hongmei; Deng, Jiansong: A survey on the local refinable splines (2016)
  8. Speleers, Hendrik; Manni, Carla: Effortless quasi-interpolation in hierarchical spaces (2016)
  9. Zore, Urška; Jüttler, Bert; Kosinka, Jiří: On the linear independence of truncated hierarchical generating systems (2016)
  10. Awanou, Gerard: Spline element method for Monge-Ampère equations (2015)
  11. Cavallini, Nicola; Weeger, Oliver; Pauletti, M.Sebastian; Martinelli, Massimiliano; Antolín, Pablo: Effective integration of sophisticated operators in isogeometric analysis with igatools (2015)
  12. Liao, Tao; Xu, Guoliang; Zhang, Yongjie Jessica: Atom simplification and quality T-mesh generation for multi-resolution biomolecular surfaces (2015)
  13. Pauletti, M.Sebastian; Martinelli, Massimiliano; Cavallini, Nicola; Antolin, Pablo: Igatools: an isogeometric analysis library (2015)
  14. Schillinger, Dominik; Ruess, Martin: The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models (2015)
  15. Speleers, Hendrik; Manni, Carla: Optimizing domain parameterization in isogeometric analysis based on Powell-Sabin splines (2015)
  16. Wang, Yingjun; Benson, David J.; Nagy, Attila P.: A multi-patch nonsingular isogeometric boundary element method using trimmed elements (2015)
  17. Zeng, Chao; Deng, Fang; Li, Xin; Deng, Jiansong: Dimensions of biquadratic and bicubic spline spaces over hierarchical T-meshes (2015)
  18. Zhang, Jingjing; Li, Xin: On the linear independence and partition of unity of arbitrary degree analysis-suitable T-splines (2015)
  19. Bazilevs, Yuri; Takizawa, Kenji; Tezduyar, Tayfun E.; Hsu, Ming-Chen; Kostov, Nikolay; McIntyre, Spenser: Aerodynamic and FSI analysis of wind turbines with the ALE-VMS and ST-VMS methods (2014)
  20. Berdinsky, Dmitry; Kim, Tae-wan; Bracco, Cesare; Cho, Durkbin; Mourrain, Bernard; Oh, Min-jae; Kiatpanichgij, Sutipong: Dimensions and bases of hierarchical tensor-product splines (2014)

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