Results and publications:
Rigorous and computational advances on the evolution of interfaces:
M. Schmuck, G.A. Pavliotis, and S. Kalliadasis,
Recent advances in the evolution of interfaces: thermodynamics, upscaling, and universality, arXiv:1804.09228 (2018).
First computational results for upscaled/homogenized phase field equations:
A. Veveris & M. Schmuck
Computational investigation of porous media phase field formulations: microscopic, effective macroscopic, and Langevin equations,
Journal of Computational Physics, 344:485-498 (2017).
Effective composite cathode formulation accounting for phase transforming intercalation hosts:
Upscaling of solid-electrolyte composite intercalation cathodes for energy storage systems: Homogenized composite cathode equations,
Applied Mathematics Research eXpress, 2017(2):402-430 (2017).
Error estimastes/convergence rates for the porous media approximation of phase field equations:
Schmuck, M. & Kalliadasis, S.,
Rate of convergence of general phase field equations in strongly heterogeneous media towards their homogenized limit:
error estimates for upscaled phase field equations,
SIAM Journal on Applied Mathematics, 77(4):1471-1492 (2017).
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