Boundary determination of the Lamé moduli for the isotropic elasticity system

Yi-Hsuan Lin, Gen Nakamura

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We consider the inverse boundary value problem of determining the Lamé moduli of an isotropic, static elasticity equations of system at the boundary from the localized Dirichlet-to-Neumann map. Assuming appropriate local regularity assumptions as weak as possible on the Lamé moduli and on the boundary, we give explicit pointwise reconstruction formulae of the Lamé moduli and their higher order derivatives at the boundary from the localized Dirichlet-to-Neumann map.

Original languageEnglish
Article number125004
JournalInverse Problems
Volume33
Issue number12
DOIs
StatePublished - 8 Nov 2017

Keywords

  • boundary determination
  • Dirichlet-to-Neumann map
  • inverse boundary value problem
  • isotropic elasticity system
  • Stroh formalism

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