Name
Abstract | ||
|---|---|---|
In this communication the advantages and drawbacks of the isogeometric analysis (IGA) are reviewed in the context of electromagnetic simulations. IGA extends the set of polynomial basis functions, commonly employed by the classical Finite Element Method (FEM). While identical to FEM with Nu0027edu0027elecu0027s basis functions in the lowest order case, it is based on B-spline and Non-Uniform Rational B-spline basis functions. The main benefit of this is the exact representation of the geometry in the language of computer aided design (CAD) tools. This simplifies the meshing as the computational mesh is implicitly created by the engineer using the CAD tool. The curl- and div-conforming spline function spaces are recapitulated and the available software is discussed. Finally, several non-academic benchmark examples in two and three dimensions are shown which are used in optimization and uncertainty quantification workflows. |
Year | Venue | Field |
|---|---|---|
2017 | arXiv: Computational Engineering, Finance, and Science | Spline (mathematics),CAD,Mathematical optimization,Uncertainty quantification,Computational electromagnetics,Isogeometric analysis,Computer Aided Design,Finite element method,Computational science,Basis function,Mathematics |
DocType | Volume | Citations |
Journal | abs/1709.06004 | 2 |
PageRank | References | Authors |
0.57 | 1 | 11 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zeger Bontinck | 1 | 2 | 0.57 |
| Jacopo Corno | 2 | 2 | 1.24 |
| Herbert De Gersem | 3 | 12 | 8.63 |
| Stefan Kurz | 4 | 2 | 1.24 |
| Andreas Pels | 5 | 2 | 0.91 |
| Sebastian Schöps | 6 | 24 | 18.23 |
| Felix Wolf | 7 | 3 | 2.94 |
| Carlo de Falco | 8 | 39 | 6.89 |
| Jürgen Dölz | 9 | 2 | 1.58 |
| Rafael Vázquez | 10 | 2 | 0.91 |
| Ulrich Römer | 11 | 7 | 4.21 |