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Convergence analysis of a coupled method for time-dependent convection-diffusion equations

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Abstract

The coupling of two locally mass conservative methods is formulated and analyzed for the time-dependent convection-diffusion problem. Finite volume method is used in some subdomains and interior penalty discontinuous Galerkin method is used in other subdomains. Numerical examples show the advantages of the proposed hybrid method, namely an accurate approximation obtained at a reduced computational cost. © 2013 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 133–157, 2014

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