Efficient domain decomposition preconditioning for the hierarchical \(p\)-version. II (Q1589128)

This article is a continuation of part I [ibid. 43, No. 5, 35-52 (1999; Zbl 0983.65132)]. From the introduction: As soon as the domain decomposition preconditioner is defined, it can be used in any iterative procedure for the solution of the finite element system such as the preconditioned conjugate gradient, simple iteration, and other methods. In any of them we do not use the preconditioner itself, but the sequence of operations equivalent to the multiplication by the inverse to the preconditioner. Thus we need only to define the inverses to our preconditioners. We do this in Sections 5 and 6.