Publication: Functional A posteriori error estimation for stationary reaction-convection-diffusion problems
Functional A posteriori error estimation for stationary reaction-convection-diffusion problems
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Eigel, M., & Samrowski, T. (2014). Functional A posteriori error estimation for stationary reaction-convection-diffusion problems. Computational Methods in Applied Mathematics, 14(2), 135–150. https://doi.org/10.1515/cmam-2014-0005
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A functional type a posteriori error estimator for the finite element discretization of the stationary reaction-convection-diffusion equation is derived. In case of dominant convection, the solution for this class of problems typically exhibits boundary layers and shock-front like areas with steep gradients. This renders the accurate numerical solution very demanding and appropriate techniques for the adaptive resolution of regions with large approximation errors are crucial. Functional error estimators as derived here contain no mesh
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- Eigel, Martin
- Samrowski, Tatiana
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Eigel, M., & Samrowski, T. (2014). Functional A posteriori error estimation for stationary reaction-convection-diffusion problems. Computational Methods in Applied Mathematics, 14(2), 135–150. https://doi.org/10.1515/cmam-2014-0005
