Strong formulation finite element method based on differential quadrature: a survey

F Tornabene, N Fantuzzi… - Applied …, 2015 - asmedigitalcollection.asme.org
A survey of several methods under the heading of strong formulation finite element method
(SFEM) is presented. These approaches are distinguished from classical one, termed weak …

Automatic differentiation in machine learning: a survey

AG Baydin, BA Pearlmutter, AA Radul… - Journal of machine …, 2018 - jmlr.org
Derivatives, mostly in the form of gradients and Hessians, are ubiquitous in machine
learning. Automatic differentiation (AD), also called algorithmic differentiation or simply" auto …

A functionally graded auxetic metamaterial beam with tunable nonlinear free vibration characteristics via graphene origami

S Zhao, Y Zhang, Y Zhang, J Yang, S Kitipornchai - Thin-Walled Structures, 2022 - Elsevier
Auxetic metamaterials with negative Poisson's ratio (NPR) are attracting tremendous
attention due to their unusual and intriguing mechanical properties. This paper proposes a …

[图书][B] Chebyshev and Fourier spectral methods

JP Boyd - 2001 - books.google.com
Completely revised text focuses on use of spectral methods to solve boundary value,
eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational …

Generalized differential quadrature analysis of unsteady three‐dimensional MHD radiating dissipative Casson fluid conveying tiny particles

T Thumma, A Wakif, IL Animasaun - Heat Transfer, 2020 - Wiley Online Library
It is worth remarking that little is known about generalized differential quadrature analysis of
three‐dimensional flow of non‐Newtonian Casson fluid in the presence of Lorentz force …

[图书][B] Differential quadrature and its application in engineering

C Shu - 2012 - books.google.com
In the past few years, the differential quadrature method has been applied extensively in
engineering. This book, aimed primarily at practising engineers, scientists and graduate …

Functionally graded graphene origami-enabled auxetic metamaterial beams with tunable buckling and postbuckling resistance

S Zhao, Y Zhang, H Wu, Y Zhang, J Yang - Engineering Structures, 2022 - Elsevier
Auxetic metamaterials have emerged as novel advanced materials with unique physical and
mechanical properties that conventional materials do not possess. This paper examines the …

Free vibration analysis of saturated porous FG circular plates integrated with piezoelectric actuators via differential quadrature method

E Arshid, AR Khorshidvand - Thin-Walled Structures, 2018 - Elsevier
The free vibration analysis of a circular plate made up of a porous material integrated by
piezoelectric actuator patches has been studied. The plate is assumed to be thin and its …

Static and dynamic analyses of FG-GNPs reinforced porous nanocomposite annular micro-plates based on MSGT

E Arshid, S Amir, A Loghman - International Journal of Mechanical …, 2020 - Elsevier
The metal foams are widely used in different areas of technologies due to their both, low
specific weight and good stiffness. Adding nanofillers as reinforcement to metal foams …

[图书][B] A primer on radial basis functions with applications to the geosciences

B Fornberg, N Flyer - 2015 - SIAM
This book is focused on a powerful numerical methodology for solving PDEs to high
accuracy in any number of dimensions: Radial Basis Functions (RBFs). During the past …