27 citations · 42 across the 9 of their papers we have counts for
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math.DS2016★ 1 cited
Slowly varying, macroscale models emerge from microscale dynamics over multiscale domains
A. J. Roberts, J. E. Bunder
Many physical systems are well described on domains which are relatively large in some directions but relatively thin in other directions. In this scenario we typically expect the…
math.DS2016★ 5 cited
Boundary conditions for macroscale waves in an elastic system with microscale heterogeneity
Chen Chen, A. J. Roberts, J. E. Bunder
Multiscale modelling aims to systematically construct macroscale models of materials with fine microscale structure. However, macroscale boundary conditions are typically not syste…