The \(p\) and \(h-p\) versions of the finite element method, basic principles and properties. (English) Zbl 0813.65118

Babuška, Ivo; Suri, Manil

SIAM Rev. 36, No. 4, 578-632 (1994).

A survey of recent papers on the basic properties of \(p\) and \(h-p\) versions, approximation theorems and the rate of convergence. The areas where the behaviour of the \(p\) and \(h-p\) versions are significantly different from that of the classical \(h\) version are studied. Numerical examples are given.

Reviewer: I.Evzerov (Kiev)

MSC:

65N30	Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J25	Boundary value problems for second-order elliptic equations

Keywords:

finite element method; \(h-p\) version; \(p\)-version; \(h\)-version; numerical examples; convergence