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math.NA2018★ 20 cited
A review of the finite cell method for nonlinear structural analysis of complex CAD and image-based geometric models
Dominik Schillinger, Quanji Cai, Ralf-Peter Mundani +1
The finite cell method (FCM) belongs to the class of immersed boundary methods, and combines the fictitious domain approach with high-order approximation, adaptive integration and…
math.NA2018★ 4 cited
Numerical simulation of transport in porous media: some problems from micro to macro scale
Quanji Cai, Sheema Kooshapur, Michael Manhart +4
This paper deals with simulation of flow and transport in porous media such as transport of groundwater contaminants. We first discuss how macro scale equations are derived and whi…