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The heterogeneous multiscale method based on the discontinuous Galerkin method for hyperbolic and parabolic problems. (English) Zbl 1080.65090

MSC:
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
35B27 Homogenization in context of PDEs; PDEs in media with periodic structure
35L45 Initial value problems for first-order hyperbolic systems
35K15 Initial value problems for second-order parabolic equations
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
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