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Isogeometric analysis: an overview and computer implementation aspects
Isogeometric analysis (IGA) represents a recently developed technology in computational
mechanics that offers the possibility of integrating methods for analysis and Computer Aided …
mechanics that offers the possibility of integrating methods for analysis and Computer Aided …
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 …
An immersogeometric variational framework for fluid–structure interaction: Application to bioprosthetic heart valves
In this paper, we develop a geometrically flexible technique for computational fluid–structure
interaction (FSI). The motivating application is the simulation of tri-leaflet bioprosthetic heart …
interaction (FSI). The motivating application is the simulation of tri-leaflet bioprosthetic heart …
A virtual element method for contact
The problem of contact between two elastic bodies is addressed computationally using the
virtual element method (VEM). The use of the VEM allows the use of non-matching meshes …
virtual element method (VEM). The use of the VEM allows the use of non-matching meshes …
An extended isogeometric thin shell analysis based on Kirchhoff–Love theory
An extended isogeometric element formulation (XIGA) for analysis of through-the-thickness
cracks in thin shell structures is developed. The discretization is based on Non-Uniform …
cracks in thin shell structures is developed. The discretization is based on Non-Uniform …
Fluid–structure interaction analysis of bioprosthetic heart valves: significance of arterial wall deformation
We propose a framework that combines variational immersed-boundary and arbitrary
Lagrangian–Eulerian methods for fluid–structure interaction (FSI) simulation of a …
Lagrangian–Eulerian methods for fluid–structure interaction (FSI) simulation of a …
Structural shape optimization of three dimensional acoustic problems with isogeometric boundary element methods
The boundary element method (BEM) is a powerful tool in computational acoustics, because
the analysis is conducted only on structural surfaces, compared to the finite element method …
the analysis is conducted only on structural surfaces, compared to the finite element method …
Analysis in computer aided design: Nonlinear isogeometric B-Rep analysis of shell structures
M Breitenberger, A Apostolatos, B Philipp… - Computer Methods in …, 2015 - Elsevier
A new concept called analysis in computer aided design (AiCAD) is proposed for design-
through-analysis workflow. This concept uses non-uniform rational B-Splines (NURBS) …
through-analysis workflow. This concept uses non-uniform rational B-Splines (NURBS) …
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 …
Nitsche's method for two and three dimensional NURBS patch coupling
We present a Nitche's method to couple non-conforming two and three-dimensional non
uniform rational b-splines (NURBS) patches in the context of isogeometric analysis. We …
uniform rational b-splines (NURBS) patches in the context of isogeometric analysis. We …