The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications
Mathematical and numerical modelling of the cardiovascular system is a research topic that
has attracted remarkable interest from the mathematical community because of its intrinsic …
has attracted remarkable interest from the mathematical community because of its intrinsic …
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 …
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 …
[图书][B] Isogeometric analysis: toward integration of CAD and FEA
“The authors are the originators of isogeometric analysis, are excellent scientists and good
educators. It is very original. There is no other book on this topic.”—René de Borst …
educators. It is very original. There is no other book on this topic.”—René de Borst …
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 …
An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD …
We explore hierarchical refinement of NURBS as a basis for adaptive isogeometric and
immersed boundary analysis. We use the principle of B-spline subdivision to derive a local …
immersed boundary analysis. We use the principle of B-spline subdivision to derive a local …
Isogeometric finite element data structures based on Bézier extraction of NURBS
We present the B'ezier extraction operator and isogeometric Bézier elements for non‐
uniform rational B‐Spline (NURBS)‐based isogeometric analysis. The Bézier extraction …
uniform rational B‐Spline (NURBS)‐based isogeometric analysis. The Bézier extraction …
Isogeometric fluid-structure interaction: theory, algorithms, and computations
We present a fully-coupled monolithic formulation of the fluid-structure interaction of an
incompressible fluid on a moving domain with a nonlinear hyperelastic solid. The arbitrary …
incompressible fluid on a moving domain with a nonlinear hyperelastic solid. The arbitrary …
Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
We present an LES-type variational multiscale theory of turbulence. Our approach derives
completely from the incompressible Navier–Stokes equations and does not employ any ad …
completely from the incompressible Navier–Stokes equations and does not employ any ad …
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 …