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Numerical simulation of corresponding models with uniform fixed grids requires an excessive amount of grid points along the expected range of the front movement.
This last result explains the differences between various literature results on pattern formation using discrete and continuum models with uniform properties.
Our results show that gas production in the Triple-Porosity Model with shape factor upscaled from DFN exhibits different production performance from models with uniform shape factor distribution.
Simulation results obtained for the two opposite magnetic cycles are presented for 3-D models with uniform solar wind speed as well as for those with CIRs included.
However, in the research literature, solutions are often proposed based on simplified models, e.g., assuming interference models with uniform distribution of small cells over the macrocell coverage, which differs significantly from realistic urban deployments [4].
Despite the simple fault models with uniform slips on planar faults, our fault models are able to reconcile the spatial pattern of displacement distribution well, suggesting that the derived fault models macroscopically pick up the nature of the source.
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An elastic net model with uniform weights achieves a higher (R^{2}=0.47) (not shown).
The simplest model, with uniform viscosity for all viscoelastic media, could explain the horizontal deformation but not the vertical deformation.
Then in 1944 the enigmatic Norwegian-American chemist Lars Onsager solved the Ising model with uniform couplings and no external fields on a 2D square pattern of spin.
Two models are considered: (1) a deterministic model with uniform erodibility and random initial topography, and (2) a deterministic model with random erodibility and uniform initial topography.
For the distributed model with uniform requests, we present an O logn -approximation algO logn -approximationn n nodes.
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