Space‐Time Isogeometric Analysis of Parabolic Diffusion Problems in Moving Spatial Domains

This paper addresses locally stabilized space‐time isogeometric (IgA) schemes for parabolic diffusion problems in moving spatial domains. It generalizes the results of our preceding works for problems in fixed spatial domains. We present functional a posteriori error estimates and study adaptive num...

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Bibliographic Details
Published in:Proceedings in applied mathematics and mechanics 2019-11, Vol.19 (1), p.n/a
Main Authors: Kyas, Svetlana, Langer, Ulrich, Repin, Sergey
Format: Article
Language:English
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Summary:This paper addresses locally stabilized space‐time isogeometric (IgA) schemes for parabolic diffusion problems in moving spatial domains. It generalizes the results of our preceding works for problems in fixed spatial domains. We present functional a posteriori error estimates and study adaptive numerical procedures based on them and on truncated hierarchical B‐splines.
ISSN:1617-7061
1617-7061
DOI:10.1002/pamm.201900504