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Some analytical results for an algebraic flux correction scheme for a steady convection-diffusion equation in one dimension

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10318467" target="_blank" >RIV/00216208:11320/15:10318467 - isvavai.cz</a>

  • Result on the web

    <a href="http://imajna.oxfordjournals.org/content/35/4/1729.full?sid=f502517d-d624-4a6c-bb0e-657aca390973" target="_blank" >http://imajna.oxfordjournals.org/content/35/4/1729.full?sid=f502517d-d624-4a6c-bb0e-657aca390973</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1093/imanum/dru041" target="_blank" >10.1093/imanum/dru041</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Some analytical results for an algebraic flux correction scheme for a steady convection-diffusion equation in one dimension

  • Original language description

    Algebraic flux correction schemes are nonlinear discretizations of convection-dominated problems. In this work, a scheme from this class is studied for a steady-state convection-diffusion equation in one dimension. It is proved that this scheme satisfiesthe discrete maximum principle. Also, as it is a nonlinear scheme, the solvability of the linear subproblems arising in a Picard iteration is studied, where positive and negative results are proved. Furthermore, the nonexistence of solutions for the nonlinear scheme is proved by means of counterexamples. Therefore, a modification of the method, which ensures the existence of a solution, is proposed. A weak version of the discrete maximum principle is proved for this modified method.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA13-00522S" target="_blank" >GA13-00522S: Qualitative analysis and numerical solution of problems of flows in generally time-dependent domains with various boundary conditions</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2015

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    IMA Journal of Numerical Analysis

  • ISSN

    0272-4979

  • e-ISSN

  • Volume of the periodical

    35

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    28

  • Pages from-to

    1729-1756

  • UT code for WoS article

    000362826000009

  • EID of the result in the Scopus database

    2-s2.0-84947939538