Multiscale algorithm with patches of finite elements
We develop a discretization and solution technique for elliptic problems whose solutions may present strong variations, singularities, boundary layers and oscillations in localized regions. We start with a coarse finite element discretization with a mesh size H, and we superpose to it local patches of finite elements with finer mesh size h << H to capture local behaviour of the solution. We discuss the implementation and illustrate the method on an industrial example. (C) 2007 IMACS. Published by Elsevier B.V. All rights reserved.
finite element methods successive space correction