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2013 | OriginalPaper | Buchkapitel

A Nonconforming Characteristic Finite Element Method for Nonlinear Advection-Dominated Diffusion Equation with Memory Term

verfasst von : Jiaquan Zhou, Chao Xu, Jianlai Gao

Erschienen in: Proceedings of The Eighth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA), 2013

Verlag: Springer Berlin Heidelberg

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Abstract

A nonconforming characteristic finite element method is considered for nonlinear convection-dominated diffusion equation with memory term. By the use of some special properties of the finite element interpolation operator, and without Rietz-Volterra projection operator which is an indispensable tool in the convergence analysis of finite element methods for integro-differential evolution equations in the previous literature, the optimal error estimate on L 2-norm and the superconvergence result on H 1-norm are obtained.

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Metadaten
Titel
A Nonconforming Characteristic Finite Element Method for Nonlinear Advection-Dominated Diffusion Equation with Memory Term
verfasst von
Jiaquan Zhou
Chao Xu
Jianlai Gao
Copyright-Jahr
2013
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-37502-6_22