Abstract | ||
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Large-time coarsening and the associated scaling and statistically self-similar properties are used to construct infinite tilings. This is realized using a Cahn-Hilliard equation and special boundaries on each tile. Within a compromise between computational effort and the goal to reduce recurrences, an infinite tiling has been created and software which zooms in and out evolve forward and backward in time as well as traverse the infinite tiling horizontally and vertically. We also analyze the scaling behavior and the statistically self-similar properties and describe the numerical approach, which is based on finite elements and an energy-stable time discretization. |
Year | DOI | Venue |
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2019 | 10.3390/sym11040444 | SYMMETRY-BASEL |
Keywords | Field | DocType |
symmetric boundary condition,pattern formation,computational design,finite-element method | Discretization,Mathematical analysis,Computational design,Finite element method,Pattern formation,Software,Tile,Scaling,Mathematics,Traverse | Journal |
Volume | Issue | Citations |
11 | 4 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Florian Stenger | 1 | 0 | 0.34 |
Axel Voigt | 2 | 42 | 6.68 |