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Titlebook: Discontinuous Galerkin Method; Analysis and Applica Vít Dolejší,Miloslav Feistauer Book 2015 Springer International Publishing Switzerland

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https://doi.org/10.1007/978-3-322-83599-4 fluid dynamics, hydrology, heat and mass transfer, environmental protection, water transfer in soils, porous media flow, but also on the other hand, in financial mathematics or image processing. The complexity of these problems prevent from obtaining their exact solution. Therefore, developing a su
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https://doi.org/10.1007/978-3-322-83599-4oblems. Some equations treated here can serve as a simplified model of the Navier–Stokes system describing compressible flow, but the subject of convection-diffusion problems is important for a number of areas in science and technology, as is mentioned in the introduction.
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https://doi.org/10.1007/978-3-322-83599-4ntinuous Galerkin method. Then the DGM over nonstandard nonsimplicial meshes will be treated. Finally, the effect of numerical integration in the DGM will be analyzed in the case of a nonstationary convection-diffusion problem with nonlinear convection.
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https://doi.org/10.1007/978-3-322-83599-4re described by systems of partial differential equations. In the second part of this book, we present the application of the DGM to solving compressible flow problems. The numerical schemes, analyzed for a scalar equation, are extended to a system of equations and numerically verified. We also deal
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https://doi.org/10.1007/978-3-322-83599-4In this chapter we introduce two types of the DG discretization that were derived with the aid of a mixed formulation.
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