Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: This work concerns the numerical solution of a coupled system of self-consistent reaction–drift–diffusion–Poisson equations that describes the macroscopic dynamics of charge transport in photoelectrochemical (PEC) solar cells with reactive semiconductor and electrolyte interfaces.  present three numerical algorithms, mainly based on a mixed finite element and a local discontinuous Galerkin method for spatial discretization, with carefully chosen numerical fluxes, and implicit–explicit time stepping techniques, for solving the time-dependent nonlinear systems of partial differential equations.  perform computational simulations under various model parameters to demonstrate the performance of the proposed numerical algorithms as ll as the impact of these parameters on the solution to the model.
['Michael Harmon', 'Irene M. Gamba', 'Kui Ren']
I am writing a research paper on a idea Numerical algorithms based on Galerkin methods for the modeling of reactive interfaces in photoelectrochemical (PEC) solar cells
[{"from": "human", "value": "I am writing a research paper on a idea Numerical algorithms based on Galerkin methods for the modeling of reactive interfaces in photoelectrochemical (PEC) solar cells"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: This work concerns the numerical solution of a coupled system of self-consistent reaction\u2013drift\u2013diffusion\u2013Poisson equations that describes the macroscopic dynamics of charge transport in photoelectrochemical (PEC) solar cells with reactive semiconductor and electrolyte interfaces.  present three numerical algorithms, mainly based on a mixed finite element and a local discontinuous Galerkin method for spatial discretization, with carefully chosen numerical fluxes, and implicit\u2013explicit time stepping techniques, for solving the time-dependent nonlinear systems of partial differential equations.  perform computational simulations under various model parameters to demonstrate the performance of the proposed numerical algorithms as ll as the impact of these parameters on the solution to the model."}]