Newton Solvers for Drift-Diffusion and Electrokinetic Equations.

Bousquet, Arthur.

Hu, Xiaozhe.

Metti, Maximillian S.

Xu, Jinchao, 1961-


  • A Newton solver for equations modeling drift-diffusion and electrokinetic phenomena is investigated. For drift-diffusion problems, modeled by the nonlinear Poisson--Nernst--Planck (PNP) equations, the linearization of the model equations is shown to be well-posed. Furthermore, a fast solver for the linearized PNP and electrokinetic equations is proposed and numerically demonstrated to be effective ... read more
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  • Bousquet, Arthur, Xiaozhe Hu, Maximilian S. Metti, and Jinchao Xu. "Newton Solvers for Drift-Diffusion and Electrokinetic Equations." SIAM Journal on Scientific Computing 40, no. 3 (January 2018): B982-B1006. doi:10.1137/17m1146956.
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