International Conference on Multivariate Approximation
September 24-27, 2011

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Splines on meshes with hanging vertices

Larry Schumaker
, Lujun Wang
A constructive theory is developed for polynomial spline spaces defined on mixed meshes consisting of triangles and rectangles. These meshes include triangulations with hanging vertices as well as T-meshes. Such meshes are useful in both CAGD and the FEM method. In addition to dimension formulae, explicit basis functions are constructed, and their support and stability properties are discussed. The approximation power of the spaces is also treated.