The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models
The finite cell method is an embedded domain method, which combines the fictitious domain
approach with higher-order finite elements, adaptive integration, and weak enforcement of …
approach with higher-order finite elements, adaptive integration, and weak enforcement of …
Mathematical analysis of variational isogeometric methods
This review paper collects several results that form part of the theoretical foundation of
isogeometric methods. We analyse variational techniques for the numerical resolution of …
isogeometric methods. We analyse variational techniques for the numerical resolution of …
A nonlocal strain gradient isogeometric model for free vibration analysis of magneto-electro-elastic functionally graded nanoplates
In this study, a nonlocal strain gradient isogeometric model, which includes the higher-order
shear deformation theory, nonlocal strain gradient theory and isogeometric analysis method …
shear deformation theory, nonlocal strain gradient theory and isogeometric analysis method …
[图书][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 …
[图书][B] Generalized locally Toeplitz sequences: theory and applications
C Garoni, S Serra-Capizzano - 2017 - Springer
Sequences of matrices with increasing size naturally arise in several contexts and especially
in the discretization of continuous problems, such as integral and differential equations. The …
in the discretization of continuous problems, such as integral and differential equations. The …
Nonlocal strain gradient-based isogeometric analysis of graphene platelets-reinforced functionally graded triply periodic minimal surface nanoplates
Recent developments in additive manufacturing (AM) technologies have empowered the
design and fabrication of intricate bioinspired engineering structures at the nano/micro …
design and fabrication of intricate bioinspired engineering structures at the nano/micro …
Galerkin formulations of isogeometric shell analysis: Alleviating locking with Greville quadratures and higher-order elements
We propose new quadrature schemes that asymptotically require only four in-plane points
for Reissner–Mindlin shell elements and nine in-plane points for Kirchhoff–Love shell …
for Reissner–Mindlin shell elements and nine in-plane points for Kirchhoff–Love shell …
Analysis of laminated composite plates integrated with piezoelectric sensors and actuators using higher-order shear deformation theory and isogeometric finite …
This paper presents a simple and effective formulation based on Isogeometric Analysis (IGA)
and Higher-order Shear Deformation Theory (HSDT) to investigate static, free vibration and …
and Higher-order Shear Deformation Theory (HSDT) to investigate static, free vibration and …
[HTML][HTML] A mathematical theory for mass lum** and its generalization with applications to isogeometric analysis
Explicit time integration schemes coupled with Galerkin discretizations of time-dependent
partial differential equations require solving a linear system with the mass matrix at each …
partial differential equations require solving a linear system with the mass matrix at each …
Optimal and reduced quadrature rules for tensor product and hierarchically refined splines in isogeometric analysis
We continue the study initiated in Hughes et al.(2010) in search of optimal quadrature rules
for tensor product and hierarchically refined splines in isogeometric analysis. These rules …
for tensor product and hierarchically refined splines in isogeometric analysis. These rules …