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• W1966574602 abstract "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-one correspondence between continuous piecewise polynomial space of degree $k+1$ and the divergence-free vector space of degree $k$, one can construct high-order 2-D 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 $RT_0^0$ at two different node sets" @default.
• W1966574602 created "2016-06-24" @default.
• W1966574602 creator A5040426930 @default.
• W1966574602 creator A5059719257 @default.
• W1966574602 date "2013-02-11" @default.
• W1966574602 modified "2023-10-11" @default.
• W1966574602 title "Genetic Exponentially Fitted Method for Solving Multi-dimensional Drift-diffusion Equations" @default.
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• W1966574602 doi "https://doi.org/10.48550/arxiv.1302.2668" @default.
• W1966574602 hasPublicationYear "2013" @default.
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