Existence, a priori and a posteriori error estimates for a nonlinear three-field problem arising from Oldroyd-B viscoelastic flows

In this paper, a nonlinear problem corresponding to a simplified Oldroyd-B model without convective terms is considered. Assuming the domain to be a convex polygon, existence of a solution is proved for small relaxation times. Continuous piecewise linear finite elements together with a Galerkin Least Square (GLS) method are studied for solving this problem. Existence and a priori error estimates are established using a Newton-chord fixed point theorem, a posteriori error estimates are also derived. An Elastic Viscous Split Stress (EVSS) scheme related to the GLS method is introduced. Numerical results confirm the theoretical predictions.


Published in:
Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique, 35, 5, 879-897
Year:
2001
ISSN:
0764-583X
Keywords:
Note:
Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland. Picasso, M, Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland.
ISI Document Delivery No.: 498FU
Times Cited: 2
Cited Reference Count: 28
Other identifiers:
Laboratories:




 Record created 2006-08-24, last modified 2018-03-17


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