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. © Springer-Verlag Berlin Heidelberg 2007.
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CITATION STYLE
Sun, S., & Geiser, J. (2007). Multiscale discontinuous galerkin methods for modeling flow and transport in porous media. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4487 LNCS, pp. 890–897). Springer Verlag. https://doi.org/10.1007/978-3-540-72584-8_117
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