INVERTED FINITE ELEMENTS APPROXIMATION OF THE NEUMANN PROBLEM FOR SECOND ORDER ELLIPTIC EQUATIONS IN EXTERIOR TWO-DIMENSIONAL DOMAINS
Abstract
We use inverted finite elements method for approximating solutions of second or- der elliptic equations with non-constant coefficients varying to infinity in the exterior of a 2D bounded obstacle, when a Neumann boundary condition is considered. After proposing an appropriate functional framework for the deployment of the method, we analyse its conver- gence and detail its implementation. Numerical tests performed after implementation confirm convergence and high efficiency of the method.
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