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We propose a new method to track a seismic horizon with a discontinuity due to a fault throw assumed to be quasi-vertical. Our approach requires the knowledge of the two points delimiting the horizon as well as the discontinuity location and jump. We deal with a non linear partial derivative equation relied on the estimated local dip. Its iterative resolution is based on a Poisson equation with incremental...
In this paper, a new surface potential based compact model for long channel fully depleted SOI MOSFET with lightly doped ultra-thin body is presented. The 1-D Poisson equation is solved using the appropriate boundary conditions, and a closed-form surface potential solution is proposed for the front and back surface potentials. Finally the model was compared to numerical simulations and a good agreement...
In this paper, we use the homotopy analysis method (shortly HAM) to obtain the numerical solutions of Poisson equation with boundary conditions. The series solution is developed and the recurrence relations are given explicitly. The initial approximation can be freely chosen with possible unknown constants which can be determined by imposing the boundary and initial conditions. The comparison of the...
The Schrödinger equation, or the coupled Schrödinger and Poisson equations, are transformed into an integral equation. Back-substituting from the original equations allows one to approximate the numerical corrections to any order without the need of calculating derivatives of the unknown function of order larger than one. Typical applications are in the numerical analysis of quantum transport in...
We investigate the qualitative property for one-dimensional steady-state Poisson-Nernst-Equation by matched asymptotic expansions, and find that the inner solution is the Weierstrass's elliptic function, so the inner and outer solutions are not matched at the boundary layer. Therefore, perhaps the long channel limit is not suitable for actual problem, otherwise this prompts us to try the other asymptotic...
Panoramic stitching of static and dynamic scenes is a very important and challenging research area. For static scenes, number of approaches has been proposed so far. The result produced by these approaches provides great similarity between resultant panorama and input images with almost zero seam visibility. However for dynamic scenes, we have found that existing approaches are unable to overcome...
The influence of front contacts deep into the emitter region on the performance of a Si solar cell was calculated on the basis of a 2-D numerical modeling of an n+-p crystalline silicon solar cell. The emitter is n-type doped with a Gaussian profile. The base is p-type uniformly doped. The carrier flow pattern in the solar cell was analyzed by solving the diffusion equations using appropriate boundary...
We present a self-consistent multi subband deterministic solver of the Boltzmann transport equation of the two dimensional (2D) electron gas. The Schodinger equation at each slice in the confinement direction and the two dimensional Poisson equation are self-consistently solved with the Boltzmann transport equation. The energy quantization and the scattering of the 2D electron gas are included. We...
It is shown that for asymmetric triple-barrier resonant-tunneling structures with thin and high (delta) barriers that the solution of rheonomous self consistent equations of Schrodinger and Poisson with discovered boundary conditions along all channels of diffusion, considering resonance transitions between three quantized levels in a strong high-frequency electric field resolves itself into a system...
We propose an improved seamless image editing method based on the Poisson equation. By adding an additional inner Dirichlet boundary condition and magnify large Laplacian values corresponding to the objectpsilas true contour in the edited region, the method can insert objects into background of the target image seamlessly, and solve the color inconsistency problem caused by boundary influence. The...
One- and two-dimensional discrete solutions of Poisson, Laplace, and wave equations are given in this tutorial. The terms wave propagation and numerical propagation are discussed. Simple MATLAB scripts are also supplied.
We describe a parallel implementation for large-eddy simulation (LES) of the stratified and rotating turbulence based on MPI. The parallelization strategy is specified by eliminating the tridiagonal solver with explicit method and by a domain decomposition for solving the poisson equation. In this simulation we have run on CRAY-T3E under the message passing platform MPI with various domain decompositions...
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