Poisson's equation


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Poisson's equation

[pwä′sōnz i‚kwā·zhən]
(mathematics)
The partial differential equation which states that the Laplacian of an unknown function is equal to a given function.
References in periodicals archive ?
We can write the divergence of Equation 4 as a form of Poisson's equation, giving
Poisson's equation is changed into Laplace's equation [[nabla.
Finite difference approximation of Poisson's equation in polar irregular mesh is defined as
This equation is shown to lead to Poisson's equation for a newtonian gravitational potential in the next section.
Over the past few decades, several kinds of fast methods for solving Poisson's equation have been proposed.
The electric potential is obtained by solving Poisson's equation with proper boundary conditions, and the magnetic induction is obtained by means of the Biot-Savart law.
The mathematical solution of (9) as Poisson's equation is known.
The thermoelastic displacement function as in [6] is governed by Poisson's equation
These computational tools, presently successful in the study of plate elasticity, thin and thick plate bending, Poisson's equation, heat conduction, and piezoelectric materials, are described largely in journals.
Thus, the proposed method is suitable to compute the solution of Poisson's equation in free space using a multigrid method.
The model requires the solution of two nonlinear partial differential equations -- Poisson's equation and the continuity equation.