Iteration algorithm for a certain projection of H01-function

研究成果: Article


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.

ジャーナルNonlinear Analysis, Theory, Methods and Applications
出版物ステータスPublished - 2001 8 1

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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