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math.AP2022★ 1 cited
Local minimizers of the interface length functional based on a concept of local paired calibrations
Julian Fischer, Sebastian Hensel, Tim Laux +1
We establish that regular flat partitions are locally minimizing for the interface energy with respect to perturbations of the phases. Regular flat partitions are partitions…
math.AP2016
Stochastic homogenization of linear elliptic equations: Higher-order error estimates in weak norms via second-order correctors
Peter Bella, Benjamin Fehrman, Julian Fischer +1
We are concerned with the homogenization of second-order linear elliptic equations with random coefficient fields. For symmetric coefficient fields with only short-range correlatio…