Résolution de problèmes elliptiques en domaines non bornés

Abstract

The study of many engineering problems such as acoustics, electromagnetic, fluid mechanics, and quantum chemistry lead to partial differential equations in unbounded domains. Therefore, the design of numerical methods suitable for solving such systems is of great importance. We suggest, to solve these equations in appropriate weighted Sobolev space to take into account the behavior of solutions at infinity. First we deal with weighted Laplacian %