The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models
D Schillinger, M Ruess - Archives of Computational Methods in …, 2015 - Springer
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 …
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 …
Isogeometric analysis using T-splines
We explore T-splines, a generalization of NURBS enabling local refinement, as a basis for
isogeometric analysis. We review T-splines as a surface design methodology and then …
isogeometric analysis. We review T-splines as a surface design methodology and then …
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 …
Isogeometric boundary element analysis using unstructured T-splines
We couple collocated isogeometric boundary element methods and unstructured analysis-
suitable T-spline surfaces for linear elastostatic problems. We extend the definition of …
suitable T-spline surfaces for linear elastostatic problems. We extend the definition of …
Dynamic and fluid–structure interaction simulations of bioprosthetic heart valves using parametric design with T-splines and Fung-type material models
This paper builds on a recently developed immersogeometric fluid–structure interaction
(FSI) methodology for bioprosthetic heart valve (BHV) modeling and simulation. It enhances …
(FSI) methodology for bioprosthetic heart valve (BHV) modeling and simulation. It enhances …
The bending strip method for isogeometric analysis of Kirchhoff–Love shell structures comprised of multiple patches
In this paper we present an isogeometric formulation for rotation-free thin shell analysis of
structures comprised of multiple patches. The structural patches are C1-or higher-order …
structures comprised of multiple patches. The structural patches are C1-or higher-order …
Local refinement of analysis-suitable T-splines
We develop a local refinement algorithm for analysis-suitable T-splines which does not
produce excessive propagation of control points. We then demonstrate its use as an …
produce excessive propagation of control points. We then demonstrate its use as an …
Isogeometric collocation: Cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
We compare isogeometric collocation with isogeometric Galerkin and standard C 0 finite
element methods with respect to the cost of forming the matrix and residual vector, the cost …
element methods with respect to the cost of forming the matrix and residual vector, the cost …