6533b86dfe1ef96bd12ca2c8

RESEARCH PRODUCT

Functional Type Error Control for Stabilised Space-Time IgA Approximations to Parabolic Problems

Ulrich LangerSvetlana MatculevichSergey Repin

subject

osittaisdifferentiaaliyhtälötstabilised space-time IgA schemesfunctional error estimatesnumeerinen analyysifully-adaptive space-time schemesapproksimointivirheanalyysiComputer Science::Numerical Analysiserror control

description

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. peerReviewed

yearjournalcountryeditionlanguage
2018-01-01
http://urn.fi/URN:NBN:fi:jyu-201811164753