[Zurück]

J. Melenk, T. Wihler:
"A posteriori error analysis of hp-FEM for singularly perturbed problems";
in: "ASC Report 25/2014", herausgegeben von: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2014, ISBN: 978-3-902627-07-0, S. 1 - 11.

Abstract. We consider the approximation of singularly perturbed linear second-order boundary value problems by hp-finite element methods. In particular, we include the case where the
associated differential operator may not be coercive. Within this setting we derive an a posteriori error estimate for a natural residual norm. The error bound is robust with respect to the
perturbation parameter and fully explicit with respect to both the local mesh size h and the polynomial degree p.

hp-FEM, hp-adaptivity, a posteriori error estimates, singularly perturbed problems.

http://www.asc.tuwien.ac.at/preprint/2014/asc25x2014.pdf