Singularly perturbed finite element methods (Q1060825)

The paper deals with the approximation of singularly perturbed ordinary differential equations by new piecewise linear finite elements (hinged elements). The purpose of introducing one or more hinges into a standard element is to allow the element to modify itself as the perturbation parameter \(\epsilon\) changes. As a result, pointwise and global error estimates (independent of \(\epsilon)\) are presented.