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- W2788549991 abstract "An a posteriori bound for the error measured in the discontinuous energy norm for a discontinuous Galerkin (dG) discretization of a linear one-dimensional stationary convection–diffusion–reaction problem with essential boundary conditions is presented. The proof is based on a conforming recovery operator inspired from a posteriori error bounds for the dG method for first-order hyperbolic problems. As such, the bound remains valid in the singular limit of vanishing diffusion. Detailed numerical experiments demonstrate the independence of the quality of the a posteriori bound with respect to the Péclet number in the standard dG-energy norm, as well as with respect to the viscosity parameter." @default.
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- W2788549991 date "2017-12-22" @default.
- W2788549991 modified "2023-10-16" @default.
- W2788549991 title "Ana posteriorierror bound for discontinuous Galerkin approximations of convection–diffusion problems" @default.
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- W2788549991 doi "https://doi.org/10.1093/imanum/drx065" @default.
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