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Bridging the gap between variational homogenization results and two-scale asymptotic averaging techniques on periodic network structures
Erik Kropat, Silja Meyer-Nieberg and Gerhard-Wilhelm Weber Numerical Algebra, Control & Optimization 7(3) 223 (2017) https://doi.org/10.3934/naco.2017016
Computational networks and systems-homogenization of self-adjoint differential operators in variational form on periodic networks and micro-architectured systems
Erik Kropat, Silja Meyer-Nieberg and Gerhard-Wilhelm Weber Numerical Algebra, Control & Optimization 7(2) 139 (2017) https://doi.org/10.3934/naco.2017010
Reduction in the Resonance Error in Numerical Homogenization II: Correctors and Extrapolation
Bounds on the effective behaviour of a square conducting lattice
Andrea Braides and Gilles A. Francfort Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 460(2046) 1755 (2004) https://doi.org/10.1098/rspa.2003.1229
A General Integral Representation Result for Continuum Limits of Discrete Energies with Superlinear Growth