GLSM

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Before describing our specific findings, we briefly describe the governing equations and numerical approaches that make up our 3D gLSM approach. 

To study the dynamic behavior of the BZ gels, we numerically integrate Eqs (8.1 -8.3) in two [1, 2] or three [3] dimensions using our recently developed gLSM. This method combines a finite-element approach for the spatial discretization of the elastodynamic equations and a finite-difference approximation for the reaction and diffusion terms. We used the gLSM approach to examine 2D confined films and 3D bulk samples here, we briefly discuss the more general 3D formulation [3]. 

The above expressions allow us to formulate the discretized equations for our model [3]. A detailed description of the 3D numerical approach is provided in Ref. [3], which also contains a discussion of how we validated this approach. In particular, we considered a limiting case that can be solved via an independent method and showed excellent agreement between the results obtained independently and those obtained with the gLSM [3]. 

We also performed numerous simulations to demonstrate that the gLSM approach is both robust and capable of simulating the dynamics of the BZ gels for... 

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