6533b7d7fe1ef96bd1268298

RESEARCH PRODUCT

Mesh-adaptive methods for viscous flow problem with rotation

Pekka NeittaanmäkiE. GorshkovaSergey Repin

subject

Computer scienceNorm (mathematics)Viscous flowFunctional typeStokes problemApplied mathematicsA priori and a posterioriFinite element method

description

In this paper, new functional type a posteriori error estimates for the viscous flow problem with rotating term are presented. The estimates give guaranteed upper bounds of the energy norm of the error and provide reliable error indication. We describe the implementation of the adaptive finite element methods (AFEM) in the framework of the functional type estimates proposed. Computational properties of the estimates are investigated on series of numerical examples.

yearjournalcountryeditionlanguage
2007-08-27
https://doi.org/10.1007/978-1-4020-6264-3_20