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arXiv · 2110.08368

Existence and convergence of a discontinuous Galerkin method for the incompressible three-phase flow problem in porous media

Giselle Sosa Jones·Beatrice Riviere·Loic Cappanera
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Abstract

This paper presents and analyzes a discontinuous Galerkin method for the incompressible three-phase flow problem in porous media. We use a first order time extrapolation which allows us to solve the equations implicitly and sequentially. We show that the discrete problem is well-posed, and obtain a priori error estimates. Our numerical results validate the theoretical results, i.e. the algorithm converges with first order.

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Giselle Sosa Jones, Beatrice Riviere, Loic Cappanera. 2021-10-15. Existence and convergence of a discontinuous Galerkin method for the incompressible three-phase flow problem in porous media. https://arxiv.org/abs/2110.08368

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