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Adaptively refined multi-patch B-splines with enhanced smoothness

Author

Listed:
  • Buchegger, Florian
  • Jüttler, Bert
  • Mantzaflaris, Angelos

Abstract

A spline space suitable for Isogeometric Analysis (IgA) on multi-patch domains is presented. Our construction is motivated by emerging requirements in isogeometric simulations. In particular, IgA spaces should allow for adaptive mesh refinement and they should guarantee the optimal smoothness of the discretized solution, even across interfaces of adjacent patches.

Suggested Citation

  • Buchegger, Florian & Jüttler, Bert & Mantzaflaris, Angelos, 2016. "Adaptively refined multi-patch B-splines with enhanced smoothness," Applied Mathematics and Computation, Elsevier, vol. 272(P1), pages 159-172.
    • Handle: RePEc:eee:apmaco:v:272:y:2016:i:p1:p:159-172
    DOI: 10.1016/j.amc.2015.06.055
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