A high-resolution Petrov–Galerkin method for the 1D convection–diffusion–reaction problem

We present the design of a high-resolution Petrov–Galerkin (HRPG) method using linear finite elements for the problem defined by the residual R ( ϕ ) ≔ ∂ ϕ ∂ t + u ∂ ϕ ∂ x - k ∂ 2 ϕ ∂ x 2 + s ϕ - f where k , s ⩾ 0 . The structure of the method in 1D is identical to the consistent approximate upwind...

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Veröffentlicht in:	Computer methods in applied mechanics and engineering 2010-01, Vol.199 (9), p.525-546
Hauptverfasser:	Nadukandi, Prashanth, Oñate, Eugenio, Garcia, Julio
Format:	Artikel
Sprache:	eng
Schlagworte:	Convection–diffusion–reaction Finite element Petrov–Galerkin Stabilized high-resolution methods
Online-Zugang:	Volltext
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