75 citations · 152 across the 7 of their papers we have counts for
7 papers
Torque Computation with the Isogeometric Mortar Method for the Simulation of Electric Machines
Melina Merkel, Bernard Kapidani, Sebastian Schöps +1
In this work isogeometric mortaring is used for the simulation of a six pole permanent magnet synchronous machine. Isogeometric mortaring is especially well suited for the efficien…
Mathematical foundations of adaptive isogeometric analysis
Annalisa Buffa, Gregor Gantner, Carlotta Giannelli +2
This paper reviews the state of the art and discusses recent developments in the field of adaptive isogeometric analysis, with special focus on the mathematical theory. This includ…
A minimal stabilization procedure for Isogeometric methods on trimmed geometries
Annalisa Buffa, Riccardo Puppi, Rafael Vázquez
Trimming is a common operation in CAD, and, in its simplest formulation, consists in removing superfluous parts from a geometric entity described via splines (a spline patch). Afte…
Multipatch Approximation of the de Rham Sequence and its Traces in Isogeometric Analysis
Annalisa Buffa, Jürgen Dölz, Stefan Kurz +3
We define a conforming B-spline discretisation of the de Rham complex on multipatch geometries. We introduce and analyse the properties of interpolation operators onto these spaces…
An isogeometric boundary element method for electromagnetic scattering with compatible B-spline discretizations
Robert N. Simpson, Zhaowei Liu, Ráfael Vazquez +1
We outline the construction of compatible B-splines on 3D surfaces that satisfy the continuity requirements for electromagnetic scattering analysis with the boundary element method…
Unstructured spline spaces for isogeometric analysis based on spline manifolds
Giancarlo Sangalli, Thomas Takacs, Rafael Vázquez
Based on spline manifolds we introduce and study a mathematical framework for analysis-suitable unstructured B-spline spaces. In this setting the parameter domain has a manifold st…
Isogeometric Methods for Computational Electromagnetics: B-spline and T-spline discretizations
A. Buffa, G. Sangalli, R. Vazquez
In this paper we introduce methods for electromagnetic wave propagation, based on splines and on T-splines. We define spline spaces which form a De Rham complex and, following the…