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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 …
An insight on NURBS based isogeometric analysis, its current status and involvement in mechanical applications
The current communication is a state-of-the-art review of the recently developed
Isogeometric analysis and its various applications such as structural, thermal, fluid–structure …
Isogeometric analysis and its various applications such as structural, thermal, fluid–structure …
Computational mechanics enhanced by deep learning
A Oishi, G Yagawa - Computer Methods in Applied Mechanics and …, 2017 - Elsevier
The present paper describes a method to enhance the capability of, or to broaden the scope
of computational mechanics by using deep learning, which is one of the machine learning …
of computational mechanics by using deep learning, which is one of the machine learning …
[ספר][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 …
Towards higher-order accurate mass lum** in explicit isogeometric analysis for structural dynamics
We present a mass lum** approach based on an isogeometric Petrov–Galerkin method
that preserves higher-order spatial accuracy in explicit dynamics calculations irrespective of …
that preserves higher-order spatial accuracy in explicit dynamics calculations irrespective of …
Nitsche's method for a coupling of isogeometric thin shells and blended shell structures
Thin shell structures are widely used in the aerospace, automotive and mechanical
engineering industries. They are ideal candidates for the isogeometric analysis paradigm …
engineering industries. They are ideal candidates for the isogeometric analysis paradigm …
Fast formation of isogeometric Galerkin matrices by weighted quadrature
In this paper we propose an algorithm for the formation of matrices of isogeometric Galerkin
methods. The algorithm is based on three ideas. The first is that we perform the external loop …
methods. The algorithm is based on three ideas. The first is that we perform the external loop …
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 …
The variational collocation method
We propose the variational collocation method for the numerical solution of partial
differential equations. The conceptual basis is the establishment of a direct connection …
differential equations. The conceptual basis is the establishment of a direct connection …
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 …