Hierarchically refined and coarsened splines for moving interface problems, with particular application to phase-field models of prostate tumor growth
作者： G. Lorenzo , M.A. Scott , K. Tew , T.J.R. Hughes , H. Gomez
DOI: 10.1016/J.CMA.2017.03.009
关键词: Isogeometric analysis 、 Interface (Java) 、 Set (abstract data type) 、 Mathematics 、 Key (cryptography) 、 Operator (computer programming) 、 Projection (set theory) 、 Locality 、 Bézier curve 、 Theoretical computer science
摘要: Moving interface problems are ubiquitous in science and engineering. To develop an accurate and efficient methodology for this class of problems, we present algorithms for local h-adaptivity of hierarchical B-splines to be utilized in isogeometric analysis. We extend Bézier projection, an efficient quadrature-free local projection technique, to the hierarchical setting. In this case, extraction operators may not be invertible. To address this issue we develop a multi-level reconstruction operator which maintains the locality properties of the …
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