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Finite element error estimates for nonlinear convective problems

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10129881" target="_blank" >RIV/00216208:11320/12:10129881 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Finite element error estimates for nonlinear convective problems

  • Original language description

    This paper is concerned with the analysis of the finite element method applied to nonstationary nonlinear convective problems. Using special estimates of the convective terms, we prove apriori error estimates for a semidiscrete and implicit scheme. For the semidiscrete scheme we need to apply so-called continuous mathematical induction and a nonlinear Gronwall lemma. For the implicit scheme, we prove that there does not exist a Gronwall-type lemma capable of proving the desired estimates using standardarguments. To overcome this obstacle, we use a suitable continuation of the discrete implicit solution and again use continuous mathematical induction to prove the error estimates. The technique presented can be extended to locally Lipschitz-continuous convective nonlinearities.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GPP201%2F11%2FP414" target="_blank" >GPP201/11/P414: Higher order methods based on reconstruction for the solution of conservation laws</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2012

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    ALGORITMY 2012, 19th Conference on Scientific Computing

  • ISBN

    978-80-227-3742-5

  • ISSN

  • e-ISSN

  • Number of pages

    11

  • Pages from-to

    382-392

  • Publisher name

    Slovak University of Technology in Bratislava, Faculty of Civil Engineering

  • Place of publication

    Bratislava

  • Event location

    Vysoké Tatry - Podbanské, Slovenská republika

  • Event date

    Sep 9, 2012

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article