Publication at Faculty of Mathematics and Physics |
2012
Abstract
We deal with a numerical solution of nonlinear convection-diffusion problems with the aid of the discontinuous Galerkin finite element (DGFE) method. We propose a new $hp$-adaptation technique, which is based on a combination of a residuum-nonconformity estimator and a regularity indicator.
The residuum-nonconformity estimator consists of two building blocks (residuum error indicator and the value of the nonconformity). The estimator marks mesh elements for a refinement.
The regularity indicator decides if the marked elements will be refined by h- or p-technique.