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[كتاب][B] Numerical models for differential problems
A Quarteroni, S Quarteroni - 2009 - Springer
Alfio Quarteroni Third Edition Page 1 MS&A – Modeling, Simulation and Applications 16
Numerical Models for Di erential Problems Alfio Quarteroni Third Edition Page 2 MS&A Volume …
Numerical Models for Di erential Problems Alfio Quarteroni Third Edition Page 2 MS&A Volume …
Isogeometric collocation: Cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
We compare isogeometric collocation with isogeometric Galerkin and standard C 0 finite
element methods with respect to the cost of forming the matrix and residual vector, the cost …
element methods with respect to the cost of forming the matrix and residual vector, the cost …
Free vibration analysis of porous plates with porosity distributions in the thickness and in-plane directions using isogeometric approach
Y Xue, G **, X Ma, H Chen, T Ye, M Chen… - International Journal of …, 2019 - Elsevier
The main purpose of this paper is to study the free vibration of porous square plate, circular
plate, and rectangle plate with a central circular hole in the framework of isogeometric …
plate, and rectangle plate with a central circular hole in the framework of isogeometric …
Isogeometric analysis of plane-curved beams
A curved beam element based on the Timoshenko model and non-uniform rational B-
splines (NURBS) interpolation both for geometry and displacements is presented. Such an …
splines (NURBS) interpolation both for geometry and displacements is presented. Such an …
A simple four-unknown shear and normal deformations theory for functionally graded isotropic and sandwich plates based on isogeometric analysis
This paper presents a new simple four-unknown shear and normal deformations theory
(sSNDT) for static, dynamic and buckling analyses of functionally graded material (FGM) …
(sSNDT) for static, dynamic and buckling analyses of functionally graded material (FGM) …
Constitutive models for strongly curved beams in the frame of isogeometric analysis
The current development of the isogeometric approach in various fields of mechanics is
explained by the high-accuracy results which can be achieved at a reduced computational …
explained by the high-accuracy results which can be achieved at a reduced computational …
An implicit G1 multi patch B-spline interpolation for Kirchhoff–Love space rod
The paper presents a novel formulation for the isogeometric analysis of assemblies of
Kirchhoff–Love space rod elements, introducing a multi-patch implicit G 1 formulation, so …
Kirchhoff–Love space rod elements, introducing a multi-patch implicit G 1 formulation, so …
Isogeometric collocation: Neumann boundary conditions and contact
Isogeometric collocation methods have been proposed recently and their accuracy and
efficiency demonstrated for elastostatics and explicit dynamics. This paper addresses two …
efficiency demonstrated for elastostatics and explicit dynamics. This paper addresses two …
A Lagrangian Hencky-type non-linear model suitable for metamaterials design of shearable and extensible slender deformable bodies alternative to Timoshenko …
Among the most studied models in mathematical physics, Timoshenko beam is outstanding
for its importance in technological applications. Therefore it has been extensively studied …
for its importance in technological applications. Therefore it has been extensively studied …
Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis
We explore the use of various element-based reduced quadrature strategies for bivariate
and trivariate quadratic and cubic spline elements used in isogeometric analysis. The rules …
and trivariate quadratic and cubic spline elements used in isogeometric analysis. The rules …