Abstract
We deal with a numerical solution of a scalar nonstationary convection-diffusion equation with a nonlinear convection and a linear diffusion terms. We carry out the space semi-discretization with the aid of the nonsymmetric interior penalty Galerkin (NIPG) method and the time discretization by a combination of implicit-explicit Runge-Kutta method. The resulting scheme is unconditionally stable, has a high order of accuracy with respect to space and time coordinates and requires solutions of linear algebraic problems at each time step. We derive a priori error estimates in the L2-norm.
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© 2008 Springer-Verlag Berlin Heidelberg
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Vlasák, M., Dolejší, V. (2008). Implicit-Explicit Runge-Kutta Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems. 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_42
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DOI: https://doi.org/10.1007/978-3-540-69777-0_42
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69776-3
Online ISBN: 978-3-540-69777-0
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