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Pointwise-in-time a posteriori error control for time-fractional parabolic equations

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dc.contributor.author Kopteva, Natalia
dc.date.accessioned 2021-08-23T11:08:09Z
dc.date.available 2021-08-23T11:08:09Z
dc.date.issued 2021
dc.identifier.uri http://hdl.handle.net/10344/10507
dc.description peer-reviewed en_US
dc.description.abstract For time-fractional parabolic equations with a Caputo time derivative of order α ∈ (0, 1), we give pointwise-in-time a posteriori error bounds in the spatial L2 and L∞ norms. Hence, an adaptive mesh construction algorithm is applied for the L1 method, which yields optimal convergence rates 2 − α in the presence of solution singularities en_US
dc.language.iso eng en_US
dc.publisher Elsevier en_US
dc.relation.ispartofseries Applied Mathematics Letters;123, 107515
dc.subject Pointwise-in-time en_US
dc.subject Fractional-order en_US
dc.title Pointwise-in-time a posteriori error control for time-fractional parabolic equations en_US
dc.type info:eu-repo/semantics/article en_US
dc.type.supercollection all_ul_research en_US
dc.type.supercollection ul_published_reviewed en_US
dc.identifier.doi 10.1016/j.aml.2021.107515
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US


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