Publication

Analysis of a one-dimensional free boundary flow problem

Jacques Rappaz, Alexandre Caboussat
2005
Journal Articles

Abstract

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.

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https://infoscience.epfl.ch/entities/publication/db3f4670-d16a-44fc-aaea-c3d2ddc4d520

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Jacques Rappaz, Alexandre Caboussat
2005
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/db3f4670-d16a-44fc-aaea-c3d2ddc4d520

About this result

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