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Computational and analytical a posteriori error estimates for finite element methods
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SYSNO ASEP 0353073 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Computational and analytical a posteriori error estimates for finite element methods Author(s) Segeth, Karel (MU-W) RID, SAI, ORCID Source Title Proceedings of International Conference Presentation of Mathematics '09. - Liberec : Technická univerzita v Liberci, 2010 / Feuerstein E. ; Segeth K. ; Andrejsová D. - ISBN 978-80-7372-578-5 Pages s. 93-100 Number of pages 8 s. Action International conference Presentation of mathematics '09 Event date 14.09.2009-16.09.2009 VEvent location Liberec Country CZ - Czech Republic Event type WRD Language eng - English Country CZ - Czech Republic Keywords hp-adaptive finite element method ; a posteriori error estimator ; computational error estimate ; reference solution Subject RIV BA - General Mathematics R&D Projects IAA100190803 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) Annotation The analytical a posteriori error estimates are oriented to the use in h-methods, are usually constructed only for lowest-order polynomial approximation, and often depend on unknown constatns or functions. In this review paper, we present several error estimation procedures for some particular linear partial differential problems with special regards to the needs of the hp-method. We compare the advantages and drawbacks of a posteriori error estimators including computational ones. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
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