Approaches to accommodate noisy data in the direct solution of inverse problems in incompressible plane strain elasticity

U. Albocher, P. E. Barbone, M. S. Richards, A. A. Oberai, I. Harari*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We apply the adjoint-weighted equation method (AWE) to the direct solution of inverse problems of incompressible plane strain elasticity. We show that based on untreated noisy displacements, the reconstruction of the shear modulus can be very poor. We link this poor performance to loss of coercivity of the weak form when treating problems with discontinuous coefficients. We demonstrate that by smoothing the displacements and appending a regularization term to the AWE formulation, a dramatic improvement in the reconstruction can be achieved. With these improvements, the advantages of the AWE method as a direct solution approach can be extended to a wider range of problems.

Original languageEnglish
Pages (from-to)1307-1328
Number of pages22
JournalInverse Problems in Science and Engineering
Volume22
Issue number8
DOIs
StatePublished - 17 Nov 2014

Keywords

  • incompressible plane strain
  • inverse problems
  • regularization
  • smoothing
  • variational methods

Fingerprint

Dive into the research topics of 'Approaches to accommodate noisy data in the direct solution of inverse problems in incompressible plane strain elasticity'. Together they form a unique fingerprint.

Cite this