## M.A.Ignatieva and A.V.Lapin

## Mixed hybrid finite element scheme for stefan problem
with prescribed convection

## (Lobachevskii Journal of Mathematics, Vol.13, pp.15-24)

We construct a mixed hybrid
finite element scheme of lowest order for the Stefan
problem with
prescribed convection and suggest and investigate an iterative
method
for its solution. In the iterative method we use a
preconditioner constructed by
using "standard" finite element
approximation of Laplace operator on a finer grid.
The
proposed approach develops the results of \cite{igkuz},
where a spectrally equivalent
preconditioner for the condensed
matrix in mixed hybrid finite element approximation
for linear
elliptic equation was constructed.

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