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math.NA2025
A Localized Orthogonal Decomposition Method for Heterogeneous Mixed-Dimensional Problems
Moritz Hauck, Axel Målqvist, Malin Mosquera
We propose a multiscale method for mixed-dimensional elliptic problems with highly heterogeneous coefficients arising, for example, in the modeling of fractured porous media. The m…
math.NA2022
Well-Posedness and Finite Element Approximation of Mixed Dimensional Partial Differential Equations
Fredrik Hellman, Axel Målqvist, Malin Mosquera
We consider a mixed dimensional elliptic partial differential equation posed in a bulk domain with a large number of embedded interfaces. In particular, we study well-posedness of…