Abstract
Multiscale discontinuous Galerkin (DG) methods are established to solve flow and transport problems in porous media. The underlying idea is to construct local DG basis functions at the coarse scale that capture the local properties of the differential operator at the fine scale, and then to solve the DG formulation using the newly constructed local basis functions instead of conventional polynomial functions on the coarse scale elements. Numerical examples are provided for demonstrating their effectiveness.
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Sun, S., Geiser, J. (2007). Multiscale Discontinuous Galerkin Methods for Modeling Flow and Transport in Porous Media. In: Shi, Y., van Albada, G.D., Dongarra, J., Sloot, P.M.A. (eds) Computational Science – ICCS 2007. ICCS 2007. Lecture Notes in Computer Science, vol 4487. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72584-8_117
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DOI: https://doi.org/10.1007/978-3-540-72584-8_117
Publisher Name: Springer, Berlin, Heidelberg
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