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2013 | 1 | 26-41
Tytuł artykułu

Genetic Exponentially Fitted Method for Solving Multi-dimensional Drift-diffusion Equations

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A general approach was proposed in this article to develop high-order exponentially fitted basis functions for finite element approximations of multi-dimensional drift-diffusion equations for modeling biomolecular electrodiffusion processes. Such methods are highly desirable for achieving numerical stability and efficiency. We found that by utilizing the one-to-one correspondence between the continuous piecewise polynomial space of degree k + 1 and the divergencefree vector space of degree k, one can construct high-order two-dimensional exponentially fitted basis functions that are strictly interpolative at a selected node set but are discontinuous on edges in general, spanning nonconforming finite element spaces. First order convergence was proved for the methods constructed from divergence-free Raviart-Thomas space RT 00 at two different node sets.
Wydawca
Rocznik
Tom
1
Strony
26-41
Opis fizyczny
Daty
otrzymano
2012-10-18
zaakceptowano
2013-02-12
online
2013-03-20
Bibliografia
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Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.doi-10_2478_mlbmb-2013-0001
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