An error analysis of a finite element method for a system of nonlinear advection-diffusion-reaction equations

• Autores: Biyue Liu
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 59, Nº. 8, 2009, págs. 1947-1959
• Idioma: inglés
• DOI: 10.1016/j.apnum.2008.12.035
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• Resumen

  • In this paper we present an analysis of a finite element method for solving a system of nonlinear advection�diffusion�reaction equations. We prove the existence and uniqueness of the numerical solution, and obtain a prior error estimates optimal in H1 norm. Numerical computations are carried out to test the order of accuracy in the error estimates. Blend function interpolations are applied in the calculation of numerical integrations over elements with a curved boundary.