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 …
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 …
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 …
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 …
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 …
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
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 …
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 …
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 …
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 …
variation (TV) minimization framework of Rudin, Osher, and Fatemi (ROF). Our approach …
Weiszfeld's method: Old and new results
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 …
paper, devised a method for solving the Fermat–Weber location problem—a problem whose …