Article ID Journal Published Year Pages File Type
498851 Computer Methods in Applied Mechanics and Engineering 2010 10 Pages PDF
Abstract

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 C0C0) discrete solutions of Maxwell equations.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
Authors
, , ,