High Order Whitney Forms on Simplices and the Question of Potentials

Autor:	Ana Alonso Rodríguez, Francesca Rapetti
Rok vydání:	2020
Předmět:	Curl (mathematics) Pure mathematics Diagram (category theory) Differential form Frame (artificial intelligence) Order (group theory) General topology Divergence (statistics) Finite element method Mathematics
Zdroj:	Lecture Notes in Computational Science and Engineering ISBN: 9783030558734 ENUMATH
DOI:	10.1007/978-3-030-55874-1_1
Popis:	In the frame of high order finite element approximations of PDEs, we are interested in an explicit and efficient way for constructing finite element functions with assigned gradient, curl or divergence in domains with general topology. Three ingredients, that bear the name of their scientific fathers, are involved: the de Rham’s diagram and theorem, Hodge’s decomposition for vectors, Whitney’s differential forms. Some key images are presented in order to illustrate the mathematical concepts.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6476af574fda3bb758dc48703a0ddbea https://doi.org/10.1007/978-3-030-55874-1_1 Zobrazit plný text záznamu