The weighted finite element method for elasticity equations on unbounded domains Original Research Article

By introducing the Weighted Riesz-Galerkin Method with a special weight function, Oh-Jou [23] made it possible to apply MAM (the Method of Auxiliary Mapping, introduced by Babuška—Oh) to general elliptic boundary value problems on unbounded domains. In this paper, this method is further generalized to yield highly accurate approximate solutions for linear elasticity problems on unbounded domains with bounded (or unbounded) boundaries. It is shown that, in the framework of the p-version of the FEM, this method does efficiently handle elasticity problems on unbounded domains and yields accurate solutions at low cost.