Hierarchically refined and coarsened splines for moving interface problems , with particular application to phase-field models of prostate tumor growth

@inproceedings{ScottHierarchicallyRA,
  title={Hierarchically refined and coarsened splines for moving interface problems , with particular application to phase-field models of prostate tumor growth},
  author={Michael A. Scott and Kevin Tew and Thomas J. R. Hughes and Humberto Gomez}
}
Moving interface problems are ubiquitous in science and engineering. To develop an accurate and e cient 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 e cient 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… CONTINUE READING

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