Contributions to Books:
J. Melenk, T. Wihler:
"A posteriori error analysis of hp-FEM for singularly perturbed problems";
in: "ASC Report 25/2014",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
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.
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.