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/