Newton's Method for Gradient Equations Based upon the Fixed Point Map: Convergence and Complexity Study.
An Adaptive Newton Algorithm Based on Numerical Inversion: Regularization as Postconditioner.
L... Stability of Finite Element Approximations to Elliptic Gradient Equations.
Modeling and Simulation of Thermo-Fluid-Electrochemical Ion Flow in Biological Channels
In this articlewe address the study of ion charge transport in the biological channels separating the intra and extracellular regions of a cell. The focus of the investigation is devoted to including thermal driving forces in the well-known velocity-extended Poisson-Nernst-Planck (vPNP) electrodiffusion model. Two extensions of the vPNP system are proposed: the velocity-extended Thermo-Hydrodynamic model (vTHD) and the velocity-extended Electro-Thermal model (vET). Both formulations are based on...
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