An indispensable tool of the numerical solution of partial differential equations by finite-
element or finite-difference methods on general regions is a grid which represents the …

A local cell quality metric is introduced and used to construct a variational functional for a
grid smoothing algorithm. A maximum principle is proved and the properties of the local …

Distortion measures for polylinear mappings are investigated. It is shown that certain
distortion measures satisfy the maximum principle which allows us to obtain upper bounds …

The formulation of a local cell quality metric [Branets, L., and Carey, GF, 2003, Proceedings
of the 12th International Meshing Roundtable, Santa Fe, NM, pp. 371–378; Engineering with …

We describe some extensions to the grid smoothing scheme described in [1, 2] that deal with
the following issues: 1) the clustering effect of changing valence in an unstructured grid and …

The paper is devoted to analysis of variational principles for construction of mappings with
prescribed properties in grid generation and geometric modelling. An attempt is made to …

Computational grid optimization, correction, improvement and remeshing techniques have
become increasingly important as the application problem and domain complexity …

A method is presented for modeling the flow of a viscous compressible gas around a moving
body on a simply connected unstructured mesh, which is possible when using the immersed …

This paper describes some applications to three-dimensional problems of a comprehensive
grid generation method that relies on inverted Beltrami equations in control metrics. The …

Представлена методика моделирования обтекания вязким сжимаемым газом
подвижного тела на односвязной неструктурированной сетке, что возможно при …