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Medientyp:
E-Artikel
Titel:
On the importance of the discrete maximum principle in transient analysis using finite element methods
Beteiligte:
Rank, Ernst;
Katz, Casimir;
Werner, Heinrich
Erschienen:
Wiley, 1983
Erschienen in:International Journal for Numerical Methods in Engineering
Sprache:
Englisch
DOI:
10.1002/nme.1620191205
ISSN:
0029-5981;
1097-0207
Entstehung:
Anmerkungen:
Beschreibung:
<jats:title>Abstract</jats:title><jats:p>In transient analysis it is generally thought that small time steps can only improve the accuracy, because standard stability theorems limit the maximum time step for a given mesh size. In finite element approximations, however, small time steps may cause stability problems which lead to physically unreasonable results. It is shown that this is due to the violation of a discrete maximum principle. The influence of lumped and consistent mass matrices on a stable discretization of time and space is presented.</jats:p>