Fredrik Hellman

Researcher at Applied Mathematics and Statistics

My research focuses on multi-scale methods for solving partial differential equations (PDEs) with rapidly varying coefficients. In particular, I study methods where different but similar coefficients appear in a set of problems, for example in stochastic simulation of defect materials or time-dependent PDEs.

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Showing 3 publications


Numerical upscaling for heterogeneous materials in fractured domains

Fredrik Hellman, Axel Målqvist, Siyang Wang
Mathematical Modelling and Numerical Analysis. Vol. 55, p. S761-S784
Journal article

Numerical upscaling of perturbed diffusion problems

Fredrik Hellman, Tim Keil, Axel Målqvist
SIAM Journal of Scientific Computing. Vol. 42 (4), p. A2014-A2036
Journal article

Numerical Homogenization of Elliptic PDEs with Similar Coefficients

Fredrik Hellman, Axel Målqvist
Multiscale Modeling and Simulation. Vol. 17 (2), p. 650-674
Journal article

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