A Cauchy like problem in plane elasticity: regularization by quasi-reversibility with error estimates

Authors: Đặng Đình Áng, Đặng Đức Trọng, Yamamoto Masahiro,

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Publisher, magazine: ,

Publication year: 2004

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Abstract

We consider the problem of finding the displacement field in an elastic body from displacements and stresses on a part of boundary of the elastic body. This is an ill-posed problem. We use the method of quasi-reversibility to regularize the problem. An estimate of the error is given.

Tags: Lamé system; Carleman type estimate; uniqueness of regularized solutions; convergence