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Spline spaces on TR-meshes with hanging vertices

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Abstract

Polynomial spline spaces defined on mixed meshes consisting of triangles and rectangles are studied for the C 0 case. These include triangulations with hanging vertices as well as T-meshes. In addition to dimension formulae, explicit basis functions are constructed, and their supports and stability are discussed. The approximation power of the spaces is also treated.

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Authors and Affiliations

  1. Department of Mathematics, Vanderbilt University, Nashville, TN, 37240, USA

    Larry L. Schumaker & Lujun Wang

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  1. Larry L. Schumaker
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  2. Lujun Wang
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Correspondence to Larry L. Schumaker.

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Schumaker, L.L., Wang, L. Spline spaces on TR-meshes with hanging vertices. Numer. Math. 118, 531–548 (2011). https://doi.org/10.1007/s00211-010-0353-0

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  • DOI: https://doi.org/10.1007/s00211-010-0353-0

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