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Numerical homogenization of spatial network models
Fredrik Edelvik, Morgan Görtz, Fredrik Hellman +2
We present and analyze a methodology for numerical homogenization of spatial networks, modelling e.g. diffusion processes and deformation of mechanical structures. The aim is to co…
Numerical upscaling for heterogeneous materials in fractured domains
Fredrik Hellman, Axel Målqvist, Siyang Wang
We consider numerical solution of elliptic problems with heterogeneous diffusion coefficients containing thin highly conductive structures. Such problems arise e.g. in fractured po…
Numerical upscaling of perturbed diffusion problems
Fredrik Hellman, Tim Keil, Axel Målqvist
In this paper we study elliptic partial differential equations with rapidly varying diffusion coefficient that can be represented as a perturbation of a reference coefficient. We d…