Structural health and condition monitoring via electrical impedance tomography in self-sensing materials: a review

TN Tallman, DJ Smyl - Smart Materials and Structures, 2020 - iopscience.iop.org
Much recent work has been devoted to utilizing changes in either the inherent or imparted
electrical conductivity of self-sensing materials as an indicator of damage, deformation or …

Lower bound limit analysis of cohesive‐frictional materials using second‐order cone programming

A Makrodimopoulos, CM Martin - International Journal for …, 2006 - Wiley Online Library
The formulation of limit analysis by means of the finite element method leads to an
optimization problem with a large number of variables and constraints. Here we present a …

Upper bound limit analysis using simplex strain elements and second‐order cone programming

A Makrodimopoulos, CM Martin - International journal for …, 2007 - Wiley Online Library
In geomechanics, limit analysis provides a useful method for assessing the capacity of
structures such as footings and retaining walls, and the stability of slopes and excavations …

Variationally consistent discretization schemes and numerical algorithms for contact problems

B Wohlmuth - Acta Numerica, 2011 - cambridge.org
We consider variationally consistent discretization schemes for mechanical contact
problems. Most of the results can also be applied to other variational inequalities, such as …

In Vivo Impedance Imaging With Total Variation Regularization

A Borsic, BM Graham, A Adler… - IEEE transactions on …, 2009 - ieeexplore.ieee.org
We show that electrical impedance tomography (EIT) image reconstruction algorithms with
regularization based on the total variation (TV) functional are suitable for in vivo imaging of …

Mesh adaptive computation of upper and lower bounds in limit analysis

H Ciria, J Peraire, J Bonet - International journal for numerical …, 2008 - Wiley Online Library
An efficient procedure to compute strict upper and lower bounds for the exact collapse
multiplier in limit analysis is presented, with a formulation that explicitly considers the exact …

A primal-dual active set algorithm for three-dimensional contact problems with Coulomb friction

S Hüeber, G Stadler, BI Wohlmuth - SIAM Journal on scientific computing, 2008 - SIAM
In this paper, efficient algorithms for contact problems with Tresca and Coulomb friction in
three dimensions are presented and analyzed. The numerical approximation is based on …

Active sets, nonsmoothness, and sensitivity

AS Lewis - SIAM Journal on Optimization, 2002 - SIAM
Nonsmoothness pervades optimization, but the way it typically arises is highly structured.
Nonsmooth behavior of an objective function is usually associated, locally, with an active …

Second-order cone programming methods for total variation-based image restoration

D Goldfarb, W Yin - SIAM Journal on Scientific Computing, 2005 - SIAM
In this paper we present optimization algorithms for image restoration based on the total
variation (TV) minimization framework of Rudin, Osher, and Fatemi (ROF). Our approach …

Weiszfeld's method: Old and new results

A Beck, S Sabach - Journal of Optimization Theory and Applications, 2015 - Springer
Abstract In 1937, the 16-years-old Hungarian mathematician Endre Weiszfeld, in a seminal
paper, devised a method for solving the Fermat–Weber location problem—a problem whose …