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Showing 1 to 7 of 7 for “"Poisson’s equation"”.
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Regularization methods on solving Poisson’s equation and Poisson Boltzmann equation with singular charge sources and diffuse interfaces
… singular charges is a grand challenge in solving Poisson-Boltzmann (PB) equation for analyzing electrostatic interactions between the solute biomolecules and the surrounding solvent with ions. For diffuse interface models in which solute and solvent are separated by a smooth boundary, no effective …
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Using Poisson's Equation to Characterize Brain Tumor Shape
… method proposed by Haidar et al. 2006 that uses Poisson’s equation is adapted for tumor shape parameterization. An extensive algorithm using finite differences and a robust software toolset have been developed for efficient computation of the solution to Poisson’s equation for three-dimensional …
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Automatic Performance Optimization of Stencil Codes
… not only of the model problem given by Poisson’s equation, but also of real-world applications: an optical flow simulation and the simulation of a non-isothermal and non-Newtonian fluid flow.
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Chebyshev spectral methods for potential field computation
… Chebyshev spectral methods for solving Poisson's equation and the generalized Poisson's equations and apply them to 3-D gravity and DC resistivity modeling. When we approximate a function by a finite sum of Chebyshev polynomials, there are two kinds of errors: truncation and aliasing. We …
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Some more problems of geodynamics
… Our approach is based on the transformation of Poisson’s equation into an equivalent equation posed on a spherical computational domain. This new problem is solved in an efficient iterative manner based on a hybrid pseudo-spectral/spectral- element discretisation. The main advantage of our …
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Numerical and Experimental Study of the Trichel Pulses in Needle-plane Geometry
One of the unique aspects of the negative corona discharges in the air is the regular train of pulses that form the discharge current, called Trichel pulses. These pulses are the result of the combination of several phenomena such as the avalanche ionization of the neutral molecules by the impact …
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Modeling and simulation of nano-scale transistor
… time from the multi-branch general solutions of Poisson’s equation for TFETs. The effect of electron inversion charge in the channel is taken into account. A novel approach incorporating the effect of hole mobile charge in the source depletion region is proposed. The model’s accuracy is …