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18 papers · 2 filters
A distributed Lagrange formulation of the Finite Element Immersed Boundary Method for fluids interacting with compressible solids
Daniele Boffi, Lucia Gastaldi, Luca Heltai
We present a distributed Lagrange multiplier formulation of the Finite Element Immersed Boundary Method to couple incompressible fluids with compressible solids. This is a generali…
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…
Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics
Gino Hrkac, Carl-Martin Pfeiler, Dirk Praetorius +3
We consider the numerical approximation of the Landau-Lifshitz-Gilbert equation, which describes the dynamics of the magnetization in ferromagnetic materials. In addition to the cl…
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…
Skeleton-stabilized IsoGeometric Analysis: High-regularity Interior-Penalty methods for incompressible viscous flow problems
Tuong Hoang, Clemens V. Verhoosel, Ferdinando Auricchio +2
A Skeleton-stabilized IsoGeometric Analysis (SIGA) technique is proposed for incompressible viscous flow problems with moderate Reynolds number. The proposed method allows utilizin…