Abstract:
We consider singularly perturbed turning point problems whose solutions exhibit an interior layer. Two suitable layer-adapted mesh-types are presented. For both types we give uniform error estimates in the $\varepsilon$-weighted energy norm for finite elements of higher order. Numerical experiments are used to compare the meshes and to confirm the theoretical findings.
Keywords:singular perturbation, turning point, interior layer, layer-adapted meshes, higher order finite elements.