APPROXIMATE SOLUTION OF LAPLACE EQUATION IN UNBOUNDED REGIONS BY VARIATIONAL METHOD

Abstract

The paper extends the global element variational method to the determination of the static and stationary electric and magnetic field in unbounded regions. An approximating solution of Laplace equation in the studied region is obtained with the aid of R-functions defined on the boundaries approximated by analytical functions with the solution satisfying the Dirichlet and Neumann boundary conditions on the boundaries and behaving appropriately in infinity. The application of the method is illustrated by an example.