Iteration algorithm for a certain projection of H01-function

Tomoyuki Idogawa

Research output: Contribution to journal › Article

Abstract

The projection mapping PK: V → K plays an important role in the treatment of variational inequalities, where V is some Hilbert space and K is a certain closed convex subset of V. But, only for few problems, it is known how to get or approximate the explicit form of PKu from each given u ∈ V. In this article, an iterative method to approximate PKu for V = H0/1(a, b) and K = {f ∈ V; |∇f| ≤ 1 a.e.} is proposed. This PK is related to the elasto-plastic torsion problems. Moreover, an expansion of the method for higher dimensional but radial symmetric case is shown.

Original languageEnglish
Pages (from-to)2863-2868
Number of pages6
JournalNonlinear Analysis, Theory, Methods and Applications
Volume47
Issue number4
DOIs
Publication statusPublished - 2001 Aug

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Hilbert spaces
Iterative methods
Torsional stress
Plastics

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Mathematics(all)

Cite this

Iteration algorithm for a certain projection of H01-function. / Idogawa, Tomoyuki.

In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 47, No. 4, 08.2001, p. 2863-2868.

Research output: Contribution to journal › Article

Idogawa, T 2001, 'Iteration algorithm for a certain projection of H01-function', Nonlinear Analysis, Theory, Methods and Applications, vol. 47, no. 4, pp. 2863-2868. https://doi.org/10.1016/S0362-546X(01)00406-0
Idogawa T. Iteration algorithm for a certain projection of H01-function. Nonlinear Analysis, Theory, Methods and Applications. 2001 Aug;47(4):2863-2868. https://doi.org/10.1016/S0362-546X(01)00406-0
Idogawa, Tomoyuki. / Iteration algorithm for a certain projection of H01-function. In: Nonlinear Analysis, Theory, Methods and Applications. 2001 ; Vol. 47, No. 4. pp. 2863-2868.
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