TY - JOUR

T1 - Iteration algorithm for a certain projection of H01-function

AU - Idogawa, T.

PY - 2001/8/1

Y1 - 2001/8/1

N2 - 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.

AB - 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.

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U2 - 10.1016/S0362-546X(01)00406-0

DO - 10.1016/S0362-546X(01)00406-0

M3 - Article

AN - SCOPUS:0035420995

VL - 47

SP - 2863

EP - 2868

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

SN - 0362-546X

IS - 4

ER -