Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
498851 | Computer Methods in Applied Mechanics and Engineering | 2010 | 10 Pages |
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
A. Buffa, G. Sangalli, R. Vázquez,