Adaptive discontinuous galerkin methods for flow in porous media

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Abstract

We present an adaptive Discontinuous Galerkin discretization for the solution of porous media flow problems. The considered flows are immiscible and incompressible. The fully adaptive approach implemented allows for refinement and coarsening in both the element size, the polynomial degree and the time step size.

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Kane, B., Klöfkorn, R., & Dedner, A. (2019). Adaptive discontinuous galerkin methods for flow in porous media. In Lecture Notes in Computational Science and Engineering (Vol. 126, pp. 367–378). Springer Verlag. https://doi.org/10.1007/978-3-319-96415-7_32

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