@article{77b8b2986cec454e9cae7c99d00cea3d,
title = "Adjoint-weighted equation for inverse problems of incompressible plane-stress elasticity",
abstract = "The adjoint-weighted equation (AWE) formulation is applied to incompressible isotropic plane-stress elasticity for the solution of inverse problems. For the strong form of the problem to have a solution, a restrictive strain compatibility condition must hold. In the AWE variational formulation on the other hand, a much milder sufficient condition is that uniaxial stress states be precluded, making the method more robust to noisy data. We prove that the formulation leads to a stable converging numerical method, and show through computations that the method performs well.",
keywords = "Finite elements, Incompressible plane stress, Inverse problems, Variational methods",
author = "Uri Albocher and Oberai, {Assad A.} and Barbone, {Paul E.} and Isaac Harari",
note = "Funding Information: This research was supported by a grant from the United States-Israel Binational Science Foundation (BSF), Jerusalem, Israel. ",
year = "2009",
month = jun,
day = "1",
doi = "10.1016/j.cma.2009.02.034",
language = "אנגלית",
volume = "198",
pages = "2412--2420",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier B.V.",
number = "30-32",
}