A review of some a posteriori error estimates for adaptive finite element methods
نویسنده
چکیده
Recently, the adaptive finite element methods have gained a very important position among numerical procedures for solving ordinary as well as partial differential equations arising from various technical applications. While the classical a posteriori error estimates are oriented to the use in h-methods the contemporary higher order hp-methods usually require new approaches in a posteriori error estimation. We present a brief review of some error estimation procedures for some particular both linear and nonlinear differential problems with special regards to the needs of the hp-method. © 2009 IMACS. Published by Elsevier B.V. All rights reserved. MSC: 65M15; 65M60; 65N15; 65N30 PACS: 02.60.Lj; 02.70.Dh
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عنوان ژورنال:
- Mathematics and Computers in Simulation
دوره 80 شماره
صفحات -
تاریخ انتشار 2010