A discretization theory for monotone semicoercive problems and finite element convergence for \(p\)-harmonic Signorini problems. (English) Zbl 0823.31006

Gwinner, J.

Z. Angew. Math. Mech. 74, No. 9, 417-427 (1994).

The continuous semicoercive variational inequality problem and the discretization scheme are introduced and the central convergence result of the theory presented. The \(p\)-harmonic Signorini boundary value problem and the finite element version are also studied.

Reviewer: S.K.Rangarajan (Madras)

MSC:

31C20	Discrete potential theory
31A30	Biharmonic, polyharmonic functions and equations, Poisson’s equation in two dimensions
58E35	Variational inequalities (global problems) in infinite-dimensional spaces
65J05	General theory of numerical analysis in abstract spaces
65N30	Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs

Keywords:

harmonic Signorini boundary value problem; semicoercive variational inequality; discretization scheme; convergence result

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