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Kim, Mi-Young; Wheeler, Mary F.

A multiscale discontinuous Galerkin method for convection-diffusion-reaction problems. (English) Zbl 1361.35044

Comput. Math. Appl. 68, No. 12, Part B, 2251-2261 (2014).
Summary: We provide a general framework of multiscale discontinuous Galerkin methods developed in [A. Buffa et al., SIAM J. Numer. Anal. 44, No. 4, 1420–1440 (2006; Zbl 1153.76038)], [T. J. R. Hughes et al., Comput. Methods Appl. Mech. Eng. 195, No. 19–22, 2761–2787 (2006; Zbl 1124.76027)] for general second-order partial differential equations. We establish stability of the method and prove the error estimates.

Cited in 1 Review
Cited in 21 Documents

MSC:

35G20 Nonlinear higher-order PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs

Keywords:

discontinuous Galerkin method; multiscale discontinuous Galerkin method; convection-diffusion-reaction problem

Citations:

Zbl 1153.76038; Zbl 1124.76027
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Full Text: DOI

References:

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