Journal
SIAM JOURNAL ON NUMERICAL ANALYSIS
Volume 54, Issue 4, Pages 2163-2186Publisher
SIAM PUBLICATIONS
DOI: 10.1137/15M102229X
Keywords
isogeometric analysis; trivariate T-splines; analysis-suitability; dual-compatibility; adaptive mesh refinement
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Funding
- Deutsche Forschungsgemeinschaft
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This paper addresses the linear independence of T-splines that correspond to refinements of three-dimensional tensor-product meshes. We give an abstract definition of analysis-suitability and prove that it is equivalent to dual-compatibility, which guarantees linear independence of the T-spline blending functions. In addition, we present a local refinement algorithm that generates analysis-suitable meshes and has linear computational complexity in terms of the number of marked and generated mesh elements.
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