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.
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. email@example.com firstname.lastname@example.org
ISI Document Delivery No.: 943IN
Times Cited: 0
Cited Reference Count: 16
Record created on 2006-08-24, modified on 2016-08-08