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On one method for constructing a dynamical mesh of nonlinear quasiperfect processes in deformable anisotropic media

Bomba A., Kashtan S.

Journal of Applied Computer Science

2004

Vol. 12, nr 2

7-21

A new algorithm has been developed for numerical solving inverse nonlinear boundary value problems on quasiconformal mapping in anisotropic media, which are curvilinear tetragons limited by lines of a flow and equipotential lines under action of a potential gradient tensor. The dynamical mesh has been constructed and the velocity field of the domain has been calculated.

A variational formula for the norm of the Ahlfors operator

Frydrych M., Kalina J.

Bulletin of the Polish Academy of Sciences. Mathematics

2000

Vol. 48, no 2

215-220

We consider Riemannian submersion and associated family of Ahlfors operators acting on the fibers. We calculate a variation of the square norm of the image of Ahlfors operators on some special vector field tangent to the fibers. This variation give rise to estimate the quasiconformal deformation by means of geometrical quantities.