Variational formulation of a model free-boundary problem

Saavedra, Patricia; Scott, L. Ridgway

doi:10.1090/S0025-5718-1991-1094958-0

Variational formulation of a model free-boundary problem
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by Patricia Saavedra and L. Ridgway Scott PDF

Math. Comp. 57 (1991), 451-475 Request permission

Abstract:

The purpose of this work is to present an error analysis of the numerical approximation by a finite element method of a free-surface problem. The analysis has been done in an abstract model which has many of the features of a free-surface problem for a viscous liquid. We study in this paper how the numerical approximation of the free boundary affects the approximation of the other variables of the problem and vice versa.

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