engleski

A Formulation of Boundary Element Method Applied to Static Potential Fields in Two Dimensional Space

Paper presents a formulation of boundary element method for solving of problems related to static potential field in the two dimensional isotropic space, such as electrical field, but also for solving of any other problem described with the Poisson's differential equation, for example, potential flow of electrical current in a flat isotropic conductor, or corresponding potential flow in the bearing with hydrostatic lubrication. After defining the integral operator, that is inverse to Laplace's operator, it is developed an integral equation that represents equilibrium between essential and natural boundary conditions. By dividing the boundary to so-called boundary elements, integral equation of equilibrium reduces to the ordinary system of linear equations, which coefficients can be obtained either with direct or numerical integration. Once, when equilibrium of both boundary conditions is determined, it is easy to apply defined integral operator, to find potential and its gradients at any point in the domain of integration.

boundary element method; potential fields; potential flow; electrical field; Poisson's differential equation

nije evidentirano