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math.NA2016
An energy-consistent model of dislocation dynamics in an elastic body
Vladimir Chalupecky, Masato Kimura
We propose an energy-consistent mathematical model for motion of dislocation curves in elastic materials using the idea of phase field model. This reveals a hidden gradient flow st…
math.NA2012★ 1 cited
Macroscopic corrosion front computations of sulfate attack in sewer pipes based on a micro-macro reaction-diffusion model
Vladimír Chalupecký, Tasnim Fatima, Jens Kruschwitz +1
We consider a two-scale reaction diffusion system able to capture the corrosion of concrete with sulfates. Our aim here is to define and compute two macroscopic corrosion indicator…
math.NA2011★ 8 cited
Semi-discrete finite difference multiscale scheme for a concrete corrosion model: approximation estimates and convergence
Vladimír Chalupecký, Adrian Muntean
We propose a semi-discrete finite difference multiscale scheme for a concrete corrosion model consisting of a system of two-scale reaction-diffusion equations coupled with an ode.…