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arxiv: 1407.6175 · v4 · pith:A2RXZWS6new · submitted 2014-07-23 · 🧮 math.NA · cs.NA

Analysis-suitable adaptive T-mesh refinement with linear complexity

classification 🧮 math.NA cs.NA
keywords linearrefinementadaptiveanalysis-suitabilitycomplexitygeneratedproceduret-mesh
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We present an efficient adaptive refinement procedure that preserves analysis-suitability of the T-mesh, this is, the linear independence of the T-spline blending functions. We prove analysis-suitability of the overlays and boundedness of their cardinalities, nestedness of the generated T-spline spaces, and linear computational complexity of the refinement procedure in terms of the number of marked and generated mesh elements.

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