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 | Nanotech 2001 Vol. 1
Technical Proceedings of the 2001 International Conference on Modeling and Simulation of Microsystems
Chapter 3: Compact Modeling and Model Order Reduction |
| | Using Pseudo Transient Continuation and the Finite Element Method to Solve the Nonlinear Poisson-Boltzmann Equation | | Authors: | A.I. Shestakov, J.L. Milovich and A. Noy | | Affilation: | Lawrence Livermore National Laboratory, U.S.A. | | Pages: | 39 - 43 | | Keywords: | Poisson-Boltzmann, chemical force microscopy, pseudo transient continuation, finite elements | | Abstract: | The nonlinear Poisson-Boltzmann (PB) eequation is solved using Pseudo Transient Continuation. The PB solver is constructed by modifying the nonlinear diffusion modeule of a 3D, massively parallel, unstructured grid, finite element, radiation-hydrodynamics code. The solver also computes the electrostatic energy and evaluates the force on a user-specified contour. Either Dirichlet or mixed boundary conditions are allowed. The latter specifies surface charges, approximates far-field conditions, or lineariezes conditions 'regulating' the surface charge. The code may be run in either Cartesian, cylindrical, or spherical coordinates. THe potential and force due to a conical probe interacting with a flat plate is computed and the result compared with direct force measurements by chemical force microscopy. |  | View paper | | ISBN: | 0-9708275-0-4 |
| Pages: | 638 |
| Hardcopy: | $100.00 |
| Special: | 3 CD Set — 15% off with Free Shipping |
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