On 2D quasi-isometric regular grids that are orthogonal far from corners Full article
| Journal |
Applied Numerical Mathematics
ISSN: 0168-9274 |
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| Output data | Year: 2003, Volume: 46, Number: 3-4, Pages: 279-294 Pages count : 16 DOI: 10.1016/s0168-9274(03)00041-2 | ||
| Tags | Quasi-isometric grids; Conformal mapping; Nearly orthogonal grid; Variational approach; Non-Euclidean geometries; Geodesic quadrangles. | ||
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Abstract:
A special class of the quasi-isometric mappings for the generation of quasi-isometric regular coordinate systems is discussed. The base computational strategy of our approach is that the physical field is decomposed into five nonoverlapping sub-regions which are automatically generated by solving a variational problem. Four of these blocks containing four corners on the boundary of the physical region are conformal images of geodesic quadrangles on surfaces of constant curvature. Within each of these blocks a quasi-isometric grid is generated. Orthogonality of coordinate lines holds in the fifth block which is a conformal image of a non-convex polygon composed of several rectangles on the plane.
Cite:
Chumakov G.A.
On 2D quasi-isometric regular grids that are orthogonal far from corners
Applied Numerical Mathematics. 2003. V.46. N3-4. P.279-294. DOI: 10.1016/s0168-9274(03)00041-2 WOS Scopus РИНЦ OpenAlex
On 2D quasi-isometric regular grids that are orthogonal far from corners
Applied Numerical Mathematics. 2003. V.46. N3-4. P.279-294. DOI: 10.1016/s0168-9274(03)00041-2 WOS Scopus РИНЦ OpenAlex
Identifiers:
| Web of science: | WOS:000184628200004 |
| Scopus: | 2-s2.0-0043172408 |
| Elibrary: | 13441581 |
| OpenAlex: | W1980115922 |