Isogeometric analysis in electromagnetics: B-splines approximation

✍ Scribed by A. Buffa; G. Sangalli; R. Vázquez

• Book ID: 104011893
• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 611 KB
• Volume: 199
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/j.cma.2009.12.002

✦ Synopsis

We introduce a new discretization scheme for Maxwell equations in two space dimension. Inspired by the new paradigm of Isogeometric analysis introduced in Hughes et al. (2005) [16], we propose an algorithm based on the use of bivariate B-splines spaces suitably adapted to electromagnetics. We construct B-splines spaces of variable interelement regularity on the parametric domain. These spaces (and their push-forwards on the physical domain) form a De Rham diagram and we use them to solve the Maxwell source and eigen problem. Our scheme has the following features: (i) is adapted to treat complex geometries, (ii) is spectral correct, (iii) provides regular (e.g., globally C 0 ) discrete solutions of Maxwell equations.