Multiscale finite element modeling of diffusion-reaction equation using bubble functions with bilinear and triangular elements

A multiscale finite element method based on the bubble functions is used to generate stable and accurate solutions for the diffusion-reaction equation for both dissipation and production cases. This equation shows multiscale behaviour when the process becomes reaction dominated. To validate the appr...

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Veröffentlicht in:	Computer methods in applied mechanics and engineering 2007, Vol.196 (4), p.1095-1107
Hauptverfasser:	Parvazinia, M., Nassehi, V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Bubble function Computational techniques Damkohler number Diffusion-reaction equation Exact sciences and technology Finite element Fluid dynamics Fundamental areas of phenomenology (including applications) General theory Mathematical methods in physics Multiscale Physics Statistical physics, thermodynamics, and nonlinear dynamical systems Transport processes
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