Low-order Whitney elements are widely used for electromagnetic field problems. Higher-order approximations are receiving increasing interest, but their definition remains unduly complex. In this paper we propose a new simple construction for Whitney p-elements of polynomial degree higher than one that use only degrees of freedom associated to p-chains. We provide a basis for these elements on simplicial meshes and give a geometrical localization of all degrees of freedom. Properties of the higher-order Whitney complex are deeply investigated.
CITATION STYLE
Rapetti, F., & Bossavit, A. (2009). Whitney Forms of Higher Degree. SIAM Journal on Numerical Analysis, 47(3), 2369–2386. https://doi.org/10.1137/070705489
Mendeley helps you to discover research relevant for your work.