id: 00952226
dt: j
an: 00952226
au: Ainsworth, Mark
ti: A hierarchical domain decomposition preconditioner for $h$-$p$ finite
    element approximation on locally refined meshes.
so: SIAM J. Sci. Comput. 17, No.6, 1395-1413 (1996).
py: 1996
pu: Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA
la: EN
cc: 
ut: hierarchical basis method; numerical examples; preconditioner; domain
    decomposition; $h$-$p$ refinement; finite element; condition number
ci: 
li: doi:10.1137/S1064827594272578
ab: The author gives a preconditioner for domain decomposition of an $h$-$p$
    refinement of a finite element approximation that is a generalisation
    of preconditioners for $h$- and $p$-refinements. He gives a bound for
    the condition number of the preconditioned system that includes earlier
    results. Numerical examples are included.
rv: J.D.P.Donnelly (Oxford)