Functional Type Error Control for Stabilised Space-Time IgA Approximations to Parabolic Problems
Langer, U., Matculevich, S., & Repin, S. (2018). Functional Type Error Control for Stabilised Space-Time IgA Approximations to Parabolic Problems. In I. Lirkov, & S. Margenov (Eds.), LSSC 2017 : Large-Scale Scientific Computing, 11th International Conference. Revised Selected Papers (pp. 55-65). Springer International Publishing. Lecture Notes in Computer Science, 10665. https://doi.org/10.1007/978-3-319-73441-5_5
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Lecture Notes in Computer ScienceDate
2018Copyright
© Springer International Publishing AG 2018.
The paper is concerned with reliable space-time IgA schemes
for parabolic initial-boundary value problems. We deduce a posteriori
error estimates and investigate their applicability to space-time IgA
approximations. Since the derivation is based on purely functional arguments,
the estimates do not contain mesh dependent constants and are
valid for any approximation from the admissible (energy) class. In particular,
they imply estimates for discrete norms associated with stabilised
space-time IgA approximations. Finally, we illustrate the reliability
and efficiency of presented error estimates for the approximate
solutions recovered with IgA techniques on a model example.
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Springer International PublishingParent publication ISBN
978-3-319-73440-8Conference
International Conference on Large-Scale Scientific ComputingIs part of publication
LSSC 2017 : Large-Scale Scientific Computing, 11th International Conference. Revised Selected PapersISSN Search the Publication Forum
0302-9743Keywords
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https://converis.jyu.fi/converis/portal/detail/Publication/27920198
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