122 citations · 654 across the 35 of their papers we have counts for
7 papers · 2 filters
Matrix-free weighted quadrature for a computationally efficient isogeometric -method
Giancarlo Sangalli, Mattia Tani
The -method is the isogeometric method based on splines (or NURBS, etc.) with maximum regularity. When implemented following the paradigms of classical finite element methods, t…
Robust isogeometric preconditioners for the Stokes system based on the Fast Diagonalization method
Monica Montardini, Giancarlo Sangalli, Mattia Tani
In this paper we propose a new class of preconditioners for the isogeometric discretization of the Stokes system. Their application involves the solution of a Sylvester-like equati…
The Argyris isogeometric space on unstructured multi-patch planar domains
Mario Kapl, Giancarlo Sangalli, Thomas Takacs
Multi-patch spline parametrizations are used in geometric design and isogeometric analysis to represent complex domains. We deal with a particular class of planar multi-patch…
A sparse-grid isogeometric solver
Joakim Beck, Giancarlo Sangalli, Lorenzo Tamellini
Isogeometric Analysis (IGA) typically adopts tensor-product splines and NURBS as a basis for the approximation of the solution of PDEs. In this work, we investigate to which extent…
Construction of analysis-suitable planar multi-patch parameterizations
Mario Kapl, Giancarlo Sangalli, Thomas Takacs
Isogeometric analysis allows to define shape functions of global continuity (or of higher continuity) over multi-patch geometries. The construction of such -smooth i…
Efficient assembly based on B-spline tailored quadrature rules for the IgA-SGBEM
A. Aimi, F. Calabrò, M. Diligenti +3
This paper deals with the discrete counterpart of 2D elliptic model problems rewritten in terms of Boundary Integral Equations. The study is done within the framework of Isogeometr…
Dimension and basis construction for analysis-suitable two-patch parameterizations
Mario Kapl, Giancarlo Sangalli, Thomas Takacs
We study the dimension and construct a basis for -smooth isogeometric function spaces over two-patch domains. In this context, an isogeometric function is a function defined o…