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Improved energy-norm a posteriori error estimates for singularly perturbed reaction-diffusion problems on anisotropic meshes

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dc.contributor.author Kopteva, Natalia
dc.date.accessioned 2020-10-15T13:19:16Z
dc.date.issued 2020
dc.identifier.issn 1439-7358
dc.identifier.uri http://hdl.handle.net/10344/9337
dc.description peer-reviewed en_US
dc.description.abstract In the recent article (Kopteva, Numer Math 137:607–642, 2017) the author obtained residual-type a posteriori error estimates in the energy norm for singularly perturbed semilinear reaction-diffusion equations on unstructured anisotropic triangulations. The error constants in these estimates are independent of the diameters and the aspect ratios of mesh elements and of the small perturbation parameter. The purpose of this note is to improve the weights in the jump residual part of the estimator. This is attained by using a novel sharper version of the scaled trace theorem for anisotropic elements, in which the hat basis functions are involved as weights. en_US
dc.language.iso eng en_US
dc.publisher Springer en_US
dc.relation.ispartof Lecture Notes in Computational Science and Engineering en
dc.relation.ispartofseries Boundary and Interior Layers, Computational and Asymptotic Methods,Barrenechea G., Mackenzie J. (eds) Lecture Notes in Computational Science and Engineering;135
dc.relation.uri https://doi.org/10.1007/978-3-030-41800-7_9
dc.rights The original publication is available at www.springerlink.com en_US
dc.subject mathematics en_US
dc.subject reaction-diffusion problems en_US
dc.title Improved energy-norm a posteriori error estimates for singularly perturbed reaction-diffusion problems on anisotropic meshes en_US
dc.type info:eu-repo/semantics/conferenceObject en_US
dc.type.supercollection all_ul_research en_US
dc.type.supercollection ul_published_reviewed en_US
dc.date.updated 2020-10-15T13:09:48Z
dc.description.version ACCEPTED
dc.identifier.doi 10.1007/978-3-030-41800-7_9
dc.date.embargoEndDate 2021-08-12
dc.embargo.terms 2021-08-12 en_US
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US
dc.internal.rssid 2966019
dc.internal.copyrightchecked Yes
dc.description.status peer-reviewed


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