# Институт вычислительной математики

и математической геофизики

# The International Conference on Computational Mathematics

ICCM-2004

June, 21-25, 2004
Novosibirsk, Academgorodok

## Abstracts

*Numerical solution of differential and integral equations*

## Finite superelement method for velosity skin-layer problem

**Keldysh Institute of Applied Mathematics RAS (Moscow)**
In this work we consider finite superelement method for the
velocity skin-layer problem, which arises from
mathematical modelling of processes in electro-magnetic launchers.
We consider this problem in two spatial dimensions.
In this case, from the mathematical point
of view, it leads to the nonstationary convection-diffusion problem in the domain with complex geometry.

We introduce the variational equation which natural
Petrov-Galerkin approximation leads to
Fedorenko Finite Superelemet Method (FSEM).
FSEM is considered as Petrov-Galerkin approximation of the
certain problem for traces of boundary-value problem solution
at the boundaries of superelements. To constract variational equation mentioned above Poincare-Steklov operators were used.

We also consider regularized
FSEM scheme. To construct it we use nonlinear artificial diffusion.

Some results on combined finite superelements/finite
elements approximations are presented.
Some numerical results are presented.

*Note. Abstracts are published in author's edition*

© 1996-2000, Siberian Branch of Russian Academy of Sciences, Novosibirsk

Last update: 06-Jul-2012 (11:52:06)