Recurrences for Quadrilateral High-Order Finite Elements

verfasst von

Sven Beuchler, Tim Haubold, Veronika Pillwein

Abstract

High order finite element methods (FEM) are well established numerical techniques for solving partial differential equations on complicated domains. In particular, if the unknown solution is smooth, using polynomial basis functions of higher degree speeds up the numerical solution significantly. At the same time, the computations get much more involved and any simplification, such as efficient recurrence relations, are most welcome. Recently, computer algebra algorithms have been applied to improve FEMs in several ways. In this note, we present a symbolic approach to an issue occuring when working with quadrilateral elements.

Organisationseinheit(en)

Institut für Angewandte Mathematik
PhoenixD: Simulation, Fabrikation und Anwendung optischer Systeme

Externe Organisation(en)

Johannes Kepler Universität Linz (JKU)

Typ

Artikel

Journal

Mathematics in Computer Science

Band

16

Anzahl der Seiten

17

ISSN

1661-8270

Publikationsdatum

12.2022

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Computational Mathematics, Theoretische Informatik und Mathematik, Angewandte Mathematik

Elektronische Version(en)

https://doi.org/10.1007/s11786-022-00547-2 (Zugang: Geschlossen)