A study of isogeometric analysis for scalar convection–diffusion equations

John V, Schumacher L

Forschungsartikel (Zeitschrift) | Peer reviewed

Zusammenfassung

Abstract Isogeometric analysis (IGA), in combination with the streamline upwind Petrov–Galerkin (SUPG) stabilization, is studied for the discretization of steady-state convection–diffusion equations. Numerical results obtained for the Hemker problem are compared with results computed with the \{SUPG\} finite element method of the same order. Using an appropriate parameterization for IGA, the computed solutions are much more accurate than those obtained with the finite element method, both in terms of the size of spurious oscillations and of the sharpness of layers.

Details zur Publikation

FachzeitschriftApplied Mathematics Letters (Appl. Math. Lett.)
Jahrgang / Bandnr. / Volume27
Seitenbereich43-48
StatusVeröffentlicht
Veröffentlichungsjahr2014
Sprache, in der die Publikation verfasst istEnglisch
DOI10.1016/j.aml.2013.08.004
Link zum Volltexthttp://www.sciencedirect.com/science/article/pii/S0893965913002565
StichwörterSharpness of layers

Autor*innen der Universität Münster

Sommer, Liesel
Professur für Anwendungen von partiellen Differentialgleichungen (Prof. Engwer)