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