This matlab code presents an introduction to isogeometric analysis whereby the basis functions that are used for computer aided geometric design (CAGD) are also used for approximation in finite element analysis. The present code uses Non-Uniform Rational B-Splines but it should be noted that the CAGD community is making headway towards other descriptions of the geometry, overcoming the limitations of NURBS such as lack of water-tightness.

The code also illustrates enrichment through the eXtended Finite Element Method framework where the basis functions can be "enriched" to capture discontinuities or sharp gradients in the solution.

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2012-04-11