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Numerical methods for elliptic partial differential equations with rapidly oscillating coefficients
(2003)
This paper presents two methods for the numerical solution of the classical homogenization problem of elliptic
operators with periodically oscillating coefficients. The numerical solution of such problems is difficult ...
Consistent and stable meshfree Galerkin methods using the virtual element decomposition
(Wiley, 2017)
Over the past two decades, meshfree methods have undergone significant development as a numerical tool
to solve partial differential equations (PDEs). In contrast to finite elements, the basis functions in meshfree
methods ...
Evaluation of the coupled effect of strain localization and asymmetric damage distribution on rope response: numerical approach based on a nonlinear cable-beam element
(Elsevier, 2020)
In this paper, a numerical model to evaluate the impact of the presence of fractured rope components on the static response of ropes is presented. Specifically, the proposed model couples the effects of two phenomena that ...
Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers
(ELSEVIER, 2003-09-01)
This article presents a numerical method to solve singularly perturbed turning point problems exhibiting two exponential boundary layers. Classical finite-difference schemes do not yield parameter uniform convergent results ...
Three-dimensional effect of stresses in open stope mine design
(Taylor and Francis Ltd., 2018)
The stability graph method is widely used for open stope mine design. During the development of the method the effect of induced stresses were included by using two-dimensional or limited three-dimensional stress analysis. ...
A New Criterion for Numerical Modelling of Hangingwall Overbreak in Open Stopes
(Springer, 2020)
Determining stability, quantifying planned dilution, and estimating the potential dilution associated with hangingwall overbreak are critical in the process of stope design in sublevel open stoping mines. To satisfy these ...
Rock pillar design using amasonry equivalent numerical model
(MDPI, 2021)
In underground mining, the design of rock pillars is of crucial importance as these are
structures that allow safe mining by maintaining the stability of the surrounding excavations. Pillar
design is often a complex task, ...
Linear smoothed polygonal and polyhedral finite elements
(Wiley, 2017)
The strain smoothing technique over higher order elements and arbitrary polytopes yields less accurate solutions than other techniques such as the conventional polygonal finite element method. In this work, we propose a ...
An assessment of particle methods for approximating anisotropic dispersion
(Wiley - Blackwell, 2012-04-18)
We derive a smoothed particle hydrodynamics (SPH) approximation for anisotropic dispersion that only
depends upon the first derivative of the kernel function and study its numerical properties. In addition, we
compare ...
Numerical solution of some boundary value problems in nonlinear magneto-elasticity
(Sage, 2015)
In the context of the theory of nonlinear magneto-elastic deformations, the problem of the extension (shortening) of a
cylinder of finite length under the influence of a magnetic field applied far away in free space is ...