Analysis of a one-dimensional free boundary flow problem

A one-dimensional free surface problem is considered. It consists in Burgers' equation with an additional diffusion term on a moving interval. The well-posedness of the problem is investigated and existence and uniqueness results are obtained locally in time. A semi-discretization in space with a piecewise linear finite element method is considered. A priori and a posteriori error estimates are given for the semi-discretization in space. A time splitting scheme allows to obtain numerical results in agreement with the theoretical investigations.


Published in:
Numerische Mathematik, 101, 1, 67-86
Year:
2005
ISSN:
0029-599X
Keywords:
Note:
Univ Houston, Dept Math, Houston, TX 77204 USA. Ecole Polytech Fed Lausanne, Fac Sci Base, Inst Anal & Calcul Sci, CH-1015 Lausanne, Switzerland. Caboussat, A, Univ Houston, Dept Math, 4800 Calhoun Rd, Houston, TX 77204 USA. caboussat@math.uh.edu jacques.rappaz@epfl.ch
ISI Document Delivery No.: 943IN
Times Cited: 0
Cited Reference Count: 16
Other identifiers:
Laboratories:




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


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