This paper describes natural decomposition of hierarchical finite element spaces, discusses a characterization of this decomposition via strengthened CBS inequality and uses this decomposition for development of hierarchical error estimates and iterative solution methods.
@article{702814,
title = {Hierarchical FEM: Strengthened CBS inequalities, error estimates and iterative solvers},
booktitle = {Programs and Algorithms of Numerical Mathematics},
series = {GDML\_Books},
publisher = {Institute of Mathematics AS CR},
address = {Prague},
year = {2006},
pages = {24-29},
url = {http://dml.mathdoc.fr/item/702814}
}
Blaheta, Radim. Hierarchical FEM: Strengthened CBS inequalities, error estimates and iterative solvers, dans Programs and Algorithms of Numerical Mathematics, GDML_Books, (2006), pp. 24-29. http://gdmltest.u-ga.fr/item/702814/