Open AccessEfficient finite element assembly of high order Whitney forms
Author(s) -
Marsic Nicolas,
Geuzaine Christophe
Publication year - 2015
Publication title -
iet science, measurement and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.418
H-Index - 49
eISSN - 1751-8830
pISSN - 1751-8822
DOI - 10.1049/iet-smt.2014.0199
Subject(s) - finite element method , matrix (chemical analysis) , basis (linear algebra) , computer science , element (criminal law) , basis function , order (exchange) , mathematics , product (mathematics) , mathematical optimization , algorithm , mathematical analysis , engineering , geometry , structural engineering , finance , political science , law , economics , composite material , materials science
This study presents an efficient method for the finite element assembly of high order Whitney elements. The authors start by reviewing the classical assembly technique and by highlighting the most time consuming part. Then, they show how this classical approach can be reformulated into a computationally efficient matrix–matrix product. They also address the global orientation problem of the vector valued basis functions. They conclude by presenting numerical results for a three‐dimensional wave propagation problem.