Abstract
This paper is concerned with error estimates in L2(H1)- and L∞(L2)-norm of the discontinuous Galerkin finite element method applied to the space semidiscretization of nonlinear nonstationary convection-diffusion problems. We discuss the discontinuos Galerkin method on shape regular meshes, which can be either conforming or nonconforming with hanging nodes. The main goal is to show that the results obtained under restrictive assumptions on the nonconformity of the meshes can be improved by using computational grids with less limiting properties.
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© 2008 Springer-Verlag Berlin Heidelberg
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Feistauer, M. (2008). A Remark to the DGFEM for Nonlinear Convection-Diffusion Problems Applied on Nonconforming Meshes. In: Kunisch, K., Of, G., Steinbach, O. (eds) Numerical Mathematics and Advanced Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69777-0_38
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DOI: https://doi.org/10.1007/978-3-540-69777-0_38
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69776-3
Online ISBN: 978-3-540-69777-0
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