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Showing 1 to 20 of 38 for “"Poisson's equation"”.
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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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Numerical solutions to Poisson's equation using radial basis functions
… addresses the problem of obtaining solutions to Poisson's equation which is encountered in the applied sciences and engineering fields. Two separate methods are explained for obtaining particular solutions to this equation. The Method of Fundamental Solutions is then used to solve the remaining …
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Thermal deformations of plates produced by temperature distributions satisfying poisson's equation
Small-deflection plate equations are presented in terms of the midplane plate deformations and the temperature distribution within the plate, which is assumed independent of the plate deformation. The plate boundary conditions are presented in a general form and are suitable for solutions involving …
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Forward modeling the gravitational field using a direct solution of Poisson's equation
… closed-form formulae, or numerical solution of Poisson's equation governing the gravity potential followed by numerical differentiation. We present a method for computing the vertical gravity anomaly directly from Poisson's equation governing the gravitational acceleration, formally relating the …
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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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A quantum mechanical semiconductor device simulator
… approaches. In these approaches, the Poisson's equation is solved with either the current continuity equation or the Boltzmann transport equation. Methods based on quantum mechanics have been generally very computer intensive, and thus until recently not much favored. However, with the …
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Microplasma Transistor With Quasi Metal-Oxide-Semiconductor (mos)/metal-Insulator-Metal (Mim) Electron Emitters
… entailed solving the differential form of Poisson's equation, subject to particle flux continuity of the cathode. Comparison of the model predictions with experimental estimates of the sheath potential shows agreement between the two to within 5% over the entire range in voltage …
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Modeling optically activated high power semiconductor switches
… switch. The model solves the continuity equations for electrons, holes, and traps, the energy equation for the lattice, Poisson's equation, and a circuit equation. Physical effects in the model include band-to-band impact ionization, trap impact ionization, photoionization, recombination …
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Computer Simulation of Biological Ion Channels
… developed for the rapid and accurate solution of Poisson's equation in the presence of a dielectric boundary and multiple point charges. These algorithms are then used to perform Brownian dynamics simulations on realistic models of biological ion channels. An iterative method of solution, in which …
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Computer Simulation of Biological Ion Channels
… developed for the rapid and accurate solution of Poisson's equation in the presence of a dielectric boundary and multiple point charges. These algorithms are then used to perform Brownian dynamics simulations on realistic models of biological ion channels. An iterative method of solution, in which …
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Aplicação do Método dos Elementos de Contorno a problemas de campo
… are in permanent regime and are governed by Poisson's Equation. The problem and the method are described at first. Then the application of the method and its development are followed by the description of a FORTRAN program for B-6700 computer, which sistematizes the proposed solution. For …
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Two-Dimensional Analysis of Narrow Gate Effects in Micron and Submicron Mosfets (Device Simulation, Modeling)
… using the exact 2-D solutions of the transport equation and Poisson's equation for studying the geometry effect of small MOSFETs, are more accurate than simple charge-control analysis. The 2-D numerical model of Ji and Sah demonstrated important design features of the threshold voltage of narrow …
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Accurate Treatments of Electronic Correlation: Phase Transitions in an Idealized One-Dimensional Ferroelectric and Modelling Experimental Quantum Dots
… are determined using the FEM method to solve Poisson's equation and the effective mass is allowed to spatially vary in our QMC simulations. We find that in arrays of QD's, LSDA may be insufficiently accurate to determine the proper spin states of the electrons. Additionally, we illustrate that …
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Comparisons of computational methods to represent electron transport in nonequilibrium plasma devices
… the two-dimensional, time dependent model, fluid equations are solved to obtain the electron and ion densities, and Poisson's equation is solved for the electric potential. These equations can be solved using the local field approximation (LFA), employing conservation equations for the bulk …
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Numerical simulation of a laterally confined double dot with tunable interaction potential
… Relaxation techniques were used to solve Poisson's equation for the heterostructure. The Thomas-Fermi approximation was used to calculate the electron density as a function of the spatially varying electrostatic potential.
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Formulation of a full dynamic transport model for heterojunction devices
… which consists of the Momentum Conservation Equation (MCE), Energy Conservation Equation (ECE), Particle Conservation Equation (PCE), and Poisson's Equation. In our model carrier velocity and electron energy are taken as variables and have been found using electron concentration and …
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Theory of the lunar photoelectron atmosphere
… into an arbitrary potential field together with Poisson's equation it is possible to set up a differential equation for the electrostatic potential. The equation may be integrated and the photoelectron density found as a function of height for four approximate models. A simple model based upon …
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Solution of non-linear partial differential equations with the Chebyshev Spectral method
… technique for solving engineering differential equations. The method is a specialization of the method of weighted residuals. Trial functions that are easily and exactly differentiable are used. Often the functions used also satisfy an orthogonality equation, which can improve the efficiency of …
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Numerical modelling of low temperature plasma
… self-consistently on a computational mesh. Poisson's equation is solved using a Multigrid technique. This iterative solution method uses many grids, of different resolutions, to smooth the error on all spatial scales. The mathematical foundation and details of the components of the Multigrid …
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Monte Carlo study of current variability in UTB SOI DG MOSFETs
… Monte Carlo simulations self consistent with Poisson's equation have been carried out to further investigate this mechanism.
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