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On Finite Element Methods For 3D Time-Dependent Convection-Diffusion-Reaction Equations With Small Diffusion

V. John, E. Schmeyer
Published 2008 · Mathematics

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The paper studies finite element methods for the simulation of time-dependent convection-diffusion-reaction equations with small diffusion: the SUPG method, a SOLD method and two types of FEM-FCT methods. The methods are assessed, in particular with respect to the size of the spurious oscillations in the computed solutions, at a 3D example with nonhomogeneous Dirichlet boundary conditions and homogeneous Neumann boundary conditions.
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