INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Abstract
Quadrilateral and triangular elements with curved edges are developed in the framework of spectral, discon-
tinuous, hybrid control-volume/finite-element method for elliptic problems. In order to accommodate hybrid
meshes, encompassing both triangular and quadrilateral elements, one single mapping is used. The scheme
is applied to two-dimensional problems with discontinuous, anisotropic diffusion coefficients, and the expo-
nential convergence of the method is verified in the presence of curved geometries.
