Abstract
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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John, V., Schmeyer, E. (2009). On Finite Element Methods for 3D Time-Dependent Convection-Diffusion-Reaction Equations with Small Diffusion. In: Hegarty, A., Kopteva, N., O'Riordan, E., Stynes, M. (eds) BAIL 2008 - Boundary and Interior Layers. Lecture Notes in Computational Science and Engineering, vol 69. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00605-0_13
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DOI: https://doi.org/10.1007/978-3-642-00605-0_13
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