A posteriori error estimates and adaptive finite elements for a nonlinear parabolic problem related to solidification
A posteriori error estimates are derived for a nonlinear parabolic problem arising from the isothermal solidification of a binary alloy. Space discretization with continuous, piecewise linear finite elements is considered. The L-2 in time H-1 in space error is bounded above and below by an error estimator based on the equation residual. Numerical results show that the effectivity index is close to one. An adaptive finite element algorithm is proposed and a solutal. dendrite is computed. (C) 2002 Elsevier Science B.V. All rights reserved.
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Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland. Univ Nancy 1, Inst Elie Cartan, F-54506 Vandoeuvre Les Nancy, France. Picasso, M, Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland.
ISI Document Delivery No.: 641RX
Times Cited: 1
Cited Reference Count: 37
Record created on 2006-08-24, modified on 2016-08-08