Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
521700 | Journal of Computational Physics | 2013 | 25 Pages |
Abstract
Edge elements are a popular method to solve Maxwell’s equations especially in time-harmonic domain. However, when non-affine elements are considered, elements of the Nédélec’s first family [19] are not providing an optimal rate of the convergence of the numerical solution toward the solution of the exact problem in H(curl)-norm. We propose new finite element spaces for pyramids, prisms, and hexahedra in order to recover the optimal convergence. In the particular case of pyramids, a comparison with other existing elements found in the literature is performed. Numerical results show the good behavior of these new finite elements.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Morgane Bergot, Marc Duruflé,