An abstract analysis of optimal goal-oriented adaptivity
Feischl, Michael and Praetorius, Dirk and van der Zee, Kristoffer George (2016) An abstract analysis of optimal goal-oriented adaptivity. SIAM Journal on Numerical Analysis, 54 (3). pp. 1423-1448. ISSN 1095-7170
Official URL: http://epubs.siam.org/doi/abs/10.1137/15M1021982
We provide an abstract framework for optimal goal-oriented adaptivity for finite element methods and boundary element methods in the spirit of (Carstensen, Feischl, Page, and Praetorius, Axioms of adaptivity, Comput. Math. Appl., 67 (2014), pp. 1195–1253). We prove that this framework covers standard discretizations of general second-order linear elliptic PDEs and hence generalizes available results beyond the Poisson equation.
Actions (Archive Staff Only)