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This thesis explores finite element methods for flow in porous media, focusing on locally mass conserving methods suitable for multiphase flow applications. It emphasizes the Brinkman model, which extends the Darcy model by incorporating viscous effects, and introduces a mass conserving finite element method with comprehensive mathematical analysis and numerical validation. The work also addresses stochastic material parameters and Robin boundary conditions, highlighting the computational viability of the p

Author

Samuel Tocalino

Language

EN