International Journal for Numerical Methods in Engineering
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Element‐free Galerkin methods
International Journal for Numerical Methods in Engineering - Tập 37 Số 2 - Trang 229-256 - 1994
AbstractAn element‐free Galerkin method which is applicable to arbitrary shapes
but requires only nodal data is applied to elasticity and heat conduction
problems. In this method, moving least‐squares interpolants are used to
construct the trial and test functions for the variational principle (weak
form); the dependent variable and its gradient are continuous in the entire
domain. In contrast to ...
Implicit dynamic analysis using an isogeometric Reissner–Mindlin shell formulation
International Journal for Numerical Methods in Engineering - Tập 110 Số 9 - Trang 803-825 - 2017
SummaryIn isogeometric analysis, identical basis functions are used for
geometrical representation and analysis. In this work, non‐uniform rational
basis splines basis functions are applied in an isoparametric approach. An
isogeometric Reissner–Mindlin shell formulation for implicit dynamic
calculations using the Galerkin method is presented. A consistent as well as a
lumped matrix formulation is ...
A meshfree Hermite-type radial point interpolation method for Kirchhoff plate problems
International Journal for Numerical Methods in Engineering - Tập 66 Số 7 - Trang 1153-1178 - 2006
New bounding techniques for goal‐oriented error estimation applied to linear problems
International Journal for Numerical Methods in Engineering - Tập 93 Số 13 - Trang 1345-1380 - 2013
SUMMARYThe paper deals with the accuracy of guaranteed error bounds on outputs
of interest computed from approximate methods such as the finite element method.
A considerable improvement is introduced for linear problems, thanks to new
bounding techniques based on Saint‐Venant's principle. The main breakthrough of
these optimized bounding techniques is the use of properties of homothetic
domains t...
Static, free vibration, and buckling analysis of laminated composite Reissner–Mindlin plates using NURBS‐based isogeometric approach
International Journal for Numerical Methods in Engineering - Tập 91 Số 6 - Trang 571-603 - 2012
SUMMARYThis paper presents a novel numerical procedure based on the framework of
isogeometric analysis for static, free vibration, and buckling analysis of
laminated composite plates using the first‐order shear deformation theory. The
isogeometric approach utilizes non‐uniform rational B‐splines to implement for
the quadratic, cubic, and quartic elements. Shear locking problem still exists
in the ...
Weakening the tight coupling between geometry and simulation in isogeometric analysis: From sub‐ and super‐geometric analysis to Geometry‐Independent Field approximaTion (GIFT)
International Journal for Numerical Methods in Engineering - Tập 114 Số 10 - Trang 1131-1159 - 2018
SummaryThis paper presents an approach to generalize the concept of isogeometric
analysis by allowing different spaces for the parameterization of the
computational domain and for the approximation of the solution field. The method
inherits the main advantage of isogeometric analysis, ie, preserves the original
exact computer‐aided design geometry (for example, given by nonuniform rational
B‐splin...
Constraint reduction procedures for reduced‐order subsurface flow models based on POD–TPWL
International Journal for Numerical Methods in Engineering - Tập 103 Số 1 - Trang 1-30 - 2015
SummaryThe properties and numerical performance of reduced‐order models based on
trajectory piecewise linearization (TPWL) and proper orthogonal decomposition
(POD) are assessed. The target application is subsurface flow modeling, although
our findings should be applicable to a range of problems. The errors arising at
each step in the POD–TPWL procedure are described. The impact of constraint
redu...
Application of dynamic programming to the general inverse problem
International Journal for Numerical Methods in Engineering - Tập 12 Số 4 - Trang 613-624 - 1978
AbstractThe general inverse problem is one for which measurements are made on
some of the state variables and it is desired to find the forcing functions.
This problem is a natural one for the method of dynamic programming. The
formulation and solution of the problem are presented in matrix form, together
with two illustrative examples of an inverse heat conduction problem and an
inverse structura...
Three‐dimensional extension of non‐linear shell formulation based on the enhanced assumed strain concept
International Journal for Numerical Methods in Engineering - Tập 37 Số 15 - Trang 2551-2568 - 1994
AbstractConventional shell formulations, such as 3‐ or 5‐parameter theories or
even 6‐parameter theories including the thickness change as extra parameter,
require a condensation of the constitutive law in order to avoid a significant
error due to the assumption of a linear displacement field across the thickness.
This means that the normal stress in thickness direction has to either vanish or
be ...
Relations between incompatible displacement model and hybrid stress model
International Journal for Numerical Methods in Engineering - Tập 22 Số 1 - Trang 173-181 - 1986
AbstractAn examination of the variational formulations confirms the similarity
between the incompatible displacement model and the assumed stress hybrid model
that was pointed out by Irons in 1972. But the basic differences between the two
are also identified. For 8‐node solid elements the assumed stress terms obtained
through a rational procedure also agree with those deduced by Irons purely from...
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