Answers are grounded in this paper and cite their sources.
In this paper a duality-based a posteriori error analysis is developed for the conforming hp Galerkin finite element approximation of second-order elliptic problems. Duality arguments combined with Galerkin orthogonality yield representations of the error in arbitrary quantities of interest. From these error estimates, criteria are derived for the simultaneous adaptation of the mesh size h and the polynomial degree p . The effectivity of this procedure is confirmed by numerical tests.
No takes yet. Share an insight, caveat, or question.
Heuveline et al. (2003) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: