Generation of Higher-Order Polynomial Bases of Nédélec H(curl) Finite Elements for Maxwell's Equations

Morgane Bergot and Patrick Lacoste

2010

Publication type:

Paper in peer-reviewed journals

Journal:

Journal of Computational and Applied Mathematics, vol. 234(6)

HAL:

hal-00974954

Abstract:

The goal of this study is the automatic construction of a vectorial polynomial basis for Nédélec mixed finite elements, particular, the generation of finite elements without the expression of the polynomial basis functions, using symbolic calculus: the exhibition of basis functions has no practical interest.

BibTeX:

@article{Ber-Lac-2010,
    author={Morgane Bergot and Patrick Lacoste },
    title={Generation of Higher-Order Polynomial Bases of Nédélec 
           H(curl) Finite Elements for Maxwell's Equations },
    journal={Journal of Computational and Applied Mathematics },
    year={2010 },
    volume={234(6) },
}