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Title page for ETD etd-05152012-224523

Type of Document Dissertation
Author Wang, Lujun
URN etd-05152012-224523
Title Trivariate polynomial splines on 3D T-meshes
Degree PhD
Department Mathematics
Advisory Committee
Advisor Name Title
Larry L. Schumaker Committee Chair
Akram Aldroubi Committee Member
Douglas P. Hardin Committee Member
Marian Neamtu Committee Member
Robert E. Bodenheimer Committee Member
  • 3D T-meshes
  • Hermite interpolation
  • splines
  • hanging vertices
Date of Defense 2012-04-30
Availability unrestricted
Trivariate polynomial spline spaces defined on three-dimensional (3D) T-meshes are useful tools for the finite element method. In addition to dimension formulae, explicit basis functions are constructed. The approach uses Bernstein- Bezier methods to get precise conditions on the geometry of the meshes which lead to local and stable bases. Hermite interpolation using polynomial splines on 3D T-meshes is also discussed in detail, leading to an error bound for interpolation of smooth functions.

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