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math.NA2021
Towards Hybrid Two-Phase Modelling Using Linear Domain Decomposition
David Seus, Florin A. Radu, Christian Rohde
The viscous flow of two immiscible fluids in a porous medium on the Darcy scale is governed by a system of nonlinear parabolic equations. If infinite mobility of one phase can be a…
math.NA2019
An a posteriori error analysis based on non-intrusive spectral projections for systems of random conservation laws
Jan Giesselmann, Fabian Meyer, Christian Rohde
We present an a posteriori error analysis for one-dimensional random hyperbolic systems of conservation laws. For the discretization of the random space we consider the Non-Intrusi…