A Cº interior penalty method for 4th order PDEs
Visualitza/Obre
Cita com:
hdl:2117/346795
Tipus de documentArticle
Data publicació2020-12-01
Condicions d'accésAccés obert
Llevat que s'hi indiqui el contrari, els
continguts d'aquesta obra estan subjectes a la llicència de Creative Commons
:
Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
ProjecteFLEXOCOMP - Enabling flexoelectric engineering through modeling and computation (EC-H2020-679451)
Abstract
A method to solve 4th-order PDEs using the Finite Element Method (FEM) with standard C0 elements is derived and studied. It is based on a special weak form accounting for the discontinuous derivatives of the approximation and imposing their normal continuity across element sides in weak form. The method is developed for the equations of the deformation of a Kirchoff plate, but its extension to other 4th-order PDEs is expected to be straight-forward. The accuracy and convergence of the resulting numerical approximation is studied with numerical experiments.
CitacióFojo, D.; Codony, D.; Fernandez, S. A Cº interior penalty method for 4th order PDEs. "Reports@SCM", 1 Desembre 2020, vol. 5, núm. 1, p. 11-21.
ISSN2385-4227
Versió de l'editorhttp://revistes.iec.cat/index.php/reports/article/view/148126/145828
Fitxers | Descripció | Mida | Format | Visualitza |
---|---|---|---|---|
148126-173021-2-PB.pdf | 2,612Mb | Visualitza/Obre |