poisson equationの例文

• Finding the potential energy ? is easy, because the Poisson equation
• The sheath model is based additionally on the Poisson equation.
• This is a Poisson equation for the scalar function \, \ phi.
• They also include his solution of the Poisson equation using the methods of stochastic analysis.
• The occurring Poisson equation for the pressure field is solved by a grid free method.
• The Poisson equation is solved again for the finer meshes using the new boundary conditions.
• Since the Poisson equation is coercive.
• One of the cornerstones of electrostatics is setting up and solving problems described by the Poisson equation.
• Solving the Poisson equation on the grid counts for the particlemesh component of the P 3 M scheme.
• If a scalar, the Poisson equation is valid, as can be for example in 4-dimensional Minkowski space:
• The same Poisson equation arises even if it does vary in time, as long as the Coulomb gauge is used.
• In this condition, by taking the divergence of all terms in the momentum equation, one obtains the pressure poisson equation.
• Applying the Euler Lagrange equations in the standard way then leads to a non-linear generalisation of the Newton Poisson equation:
• Next the boundary conditions for the secondary meshes are obtained by interpolating from the first or previous solutions of the Poisson equation.
• Solving the Poisson equation amounts to finding the electric potential for a given charge distribution " \ rho _ f ".
• When combining this result for the charge density with the Poisson equation from electrostatics, a form of the Poisson Boltzmann equation results:
• Anders Blom " Computer algorithms for solving the Schr鰀inger and Poisson equations ", Department of Physics, Lund University, 2002.
• In the homogeneous case ( f = 0 ), the screened Poisson equation is the same as the time-independent Klein Gordon equation.
• The Poisson equation is first solved on the coarse mesh with all the Dirichlet and Neumann boundary conditions, taking into account the applied bias.
• Identifying the instantaneous concentrations and potential in the Poisson equation with their mean-field counterparts in Boltzmann's distribution yields the Poisson Boltzmann equation: