Analysis of an interface stabilised finite element method: The advection-diffusion-reaction equationReportar como inadecuado


Analysis of an interface stabilised finite element method: The advection-diffusion-reaction equation


Analysis of an interface stabilised finite element method: The advection-diffusion-reaction equation - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Publication Date: 2009-10-29

Language: English

Type: Article

Metadata: Show full item record

Citation: Wells, G. N. (2009). Analysis of an interface stabilised finite element method: The advection-diffusion-reaction equation.

Abstract: Analysis of an interface stabilised finite element method for the scalar advection-diffusion-reaction equation is presented. The method inherits attractive properties of both continuous and discontinuous Galerkin methods, namely the same number of global degrees of freedom as a continuous Galerkin method on a given mesh and the stability properties of discontinuous Galerkin methods for advection dominated problems. Simulations using the approach in other works demonstrated good stability properties with minimal numerical dissipation, and standard convergence rates for the lowest order elements were observed. In this work, stability of the formulation, in the form of an inf-sup condition for the hyperbolic limit and coercivity for the elliptic case, is proved, as is order $k+1/2$ order convergence for the advection-dominated case and order $k +1$ convergence for the diffusive limit in the $L^{2}$ norm. The analysis results are supported by a number of numerical experiments.

Keywords: Finite element methods, discontinuous Galerkin methods, advection-diffusion-reaction

Identifiers:

This record's URL: http://www.dspace.cam.ac.uk/handle/1810/221724





Autor: Wells, G N

Fuente: https://www.repository.cam.ac.uk/handle/1810/221724



DESCARGAR PDF




Documentos relacionados