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 …
Reduced order isogeometric boundary element methods for CAD-integrated shape optimization in electromagnetic scattering
This paper formulates a model order reduction method for electromagnetic boundary
element analysis and extends it to computer-aided design integrated shape optimization of …
element analysis and extends it to computer-aided design integrated shape optimization of …
[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 …
Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries
Nitsche's method can be used as a coupling tool for non-matching discretizations by weakly
enforcing interface constraints. We explore the use of weak coupling based on Nitsche's …
enforcing interface constraints. We explore the use of weak coupling based on Nitsche's …
[HTML][HTML] A new design for the implementation of isogeometric analysis in Octave and Matlab: GeoPDEs 3.0
R Vázquez - Computers & Mathematics with Applications, 2016 - Elsevier
Abstract GeoPDEs (http://rafavzqz. github. io/geopdes) is an Octave/Matlab package for the
solution of partial differential equations with isogeometric analysis, first released in 2010. In …
solution of partial differential equations with isogeometric analysis, first released in 2010. In …
Acoustic isogeometric boundary element analysis
An isogeometric boundary element method based on T-splines is used to simulate acoustic
phenomena. We restrict our developments to low-frequency problems to establish the …
phenomena. We restrict our developments to low-frequency problems to establish the …
Modeling of resistivity and acoustic borehole logging measurements using finite element methods
Modeling of Resistivity and Acoustic Borehole Logging Measurements Using Finite Element
Methods provides a comprehensive review of different resistivity and sonic logging …
Methods provides a comprehensive review of different resistivity and sonic logging …
Uncertainty quantification of mechanical property of piezoelectric materials based on isogeometric stochastic FEM with generalized nth-order perturbation
L Chen, H Li, Y Guo, P Chen, E Atroshchenko… - Engineering with …, 2024 - Springer
This paper proposes a novel generalized n th-order perturbation isogeometric finite-element
method (GNP-IGA-FEM) for uncertainty quantification of mechanical properties of …
method (GNP-IGA-FEM) for uncertainty quantification of mechanical properties of …
Hierarchical T-splines: Analysis-suitability, Bézier extraction, and application as an adaptive basis for isogeometric analysis
In this paper hierarchical analysis-suitable T-splines (HASTS) are developed. The resulting
spaces are a superset of both analysis-suitable T-splines and hierarchical B-splines. The …
spaces are a superset of both analysis-suitable T-splines and hierarchical B-splines. The …
An isogeometric approach of two dimensional acoustic design sensitivity analysis and topology optimization analysis for absorbing material distribution
L Chen, C Liu, W Zhao, L Liu - Computer Methods in Applied Mechanics …, 2018 - Elsevier
A study of structural shape optimization and absorbing material distribution optimization of
noise barrier structures based on the recently proposed isogeometric analysis method with …
noise barrier structures based on the recently proposed isogeometric analysis method with …