On interpolation error on degenerating prismatic elements.

Autor:	Khademi, Ali
Další autoři:	Korotov, Sergey Eivind Vatne, Jon
Jazyk:	angličtina
Předmět:	matematika mathematics články journal articles prismatic finite element interpolation error semiregular family of prismatic partitions
Druh dokumentu:	Non-fiction
ISSN:	0862-7940
Abstrakt:	Abstract: We propose an analogue of the maximum angle condition (commonly used in finite element analysis for triangular and tetrahedral meshes) for the case of prismatic elements. Under this condition, prisms in the meshes may degenerate in certain ways, violating the so-called inscribed ball condition presented by P. G. Ciarlet (1978), but the interpolation error remains of the order $O(h)$ in the $H^1$-norm for sufficiently smooth functions.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Plný text Full text from SpringerLink