Efficient solution of Poisson’s equation with free boundary conditions
نویسندگان
چکیده
منابع مشابه
Efficient solution of Poisson's equation with free boundary conditions.
Interpolating scaling functions give a faithful representation of a localized charge distribution by its values on a grid. For such charge distributions, using a fast Fourier method, we obtain highly accurate electrostatic potentials for free boundary conditions at the cost of O(N log N) operations, where N is the number of grid points. Thus, with our approach, free boundary conditions are trea...
متن کاملOn the Numerical Solution of One Dimensional Schrodinger Equation with Boundary Conditions Involving Fractional Differential Operators
In this paper we study of collocation method with Radial Basis Function to solve one dimensional time dependent Schrodinger equation in an unbounded domain. To this end, we introduce artificial boundaries and reduce the original problem to an initial boundary value problem in a bounded domain with transparent boundary conditions that involves half order fractional derivative in t. Then in three...
متن کاملBoundary conditions and the Wigner equation solution
We consider the existence and uniqueness of the solution of the Wigner equation in the presence of boundary conditions. The equation, describing electron transport in nanostructures, is analyzed in terms of the Neumann series expansion of the corresponding integral form, obtained with the help of classical particle trajectories. It is shown that the mathematical aspects of the solution can not ...
متن کاملGeneral tooth boundary conditions for equation free modelling
We are developing a framework for multiscale computation which enables models at a “microscopic” level of description, for example Lattice Boltzmann, Monte Carlo or Molecular Dynamics simulators, to perform modelling tasks at “macroscopic” length scales of interest. The plan is to use the microscopic rules restricted to small “patches” of the domain, the “teeth”, using interpolation to bridge t...
متن کاملA Well-Posed Free Boundary Value Problem for a Hyperbolic Equation with Dirichlet Boundary Conditions
We construct solutions of a free boundary value problem for a hyperbolic equation with Dirichlet boundary data. This problem arises from a model of deformation of granular media.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Journal of Chemical Physics
سال: 2006
ISSN: 0021-9606,1089-7690
DOI: 10.1063/1.2335442