Počet záznamů: 1  

Finite element approximation for time-dependent diffusion with measure-valued source

  1. 1.
    0382310 - ÚTIA 2013 RIV DE eng J - Článek v odborném periodiku
    Seidman, T. - Gobbert, M. - Trott, D. - Kružík, Martin
    Finite element approximation for time-dependent diffusion with measure-valued source.
    Numerische Mathematik. Roč. 122, č. 4 (2012), s. 709-723. ISSN 0029-599X. E-ISSN 0945-3245
    Grant CEP: GA AV ČR IAA100750802
    Institucionální podpora: RVO:67985556
    Klíčová slova: measure-valued source * diffusion equation
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 1.329, rok: 2012
    http://library.utia.cas.cz/separaty/2012/MTR/kruzik-finite element approximation for time-dependent diffusion with measure-valued source.pdf

    The convergence of finite element methods for elliptic and parabolic partial differential equations is well-established if source terms are sufficiently smooth. Noting that finite element computation is easily implemented even when the source terms are measure-valued—for instance, modeling point sources by Dirac delta distributions—we prove new convergence order results in two and three dimensions both for elliptic and for parabolic equations with measures as source terms. These analytical results are confirmed by numerical tests using COMSOL Multiphysics.
    Trvalý link: http://hdl.handle.net/11104/0212567

     
     
Počet záznamů: 1  

  Tyto stránky využívají soubory cookies, které usnadňují jejich prohlížení. Další informace o tom jak používáme cookies.