منابع مشابه
Orthogonal Grids on Meander-like Regions
Lemniscates are level curves of the absolute value of univariate complex polynomials. We consider the approximation of meander-like regions (i.e., regions similar to meandering rivers) by pairs of confocal lemniscates that are stitched together continuously. We look at orthogonal grids on these types of plane regions. The main application is in the area of numerical solution of partial differen...
متن کاملOrthogonal polynomial expansions on sparse grids
We study the orthogonal polynomial expansion on sparse grids for a function of d variables in a weighted L space. A fast algorithm is developed to compute the orthogonal polynomial expansion by combining the fast cosine transform, a fast transform from the Chebyshev orthogonal polynomial basis to the orthogonal polynomial basis for the weighted L space, and a fast algorithm of computing hierarc...
متن کاملMarching noniterative generation of orthogonal grids
A noniterative algorithm for the marching generation of orthogonal grids in exterior of contours in a plane and on surfaces is constructed. The stable asymptotic behaviour of grids is speci ed by a special law of change of the grid cell volume which relates the curvature of the current grid line to its behaviour at in nity. A necessary criterion for the possibility of tting an orthogonal grid t...
متن کاملShape control of 3D lemniscates
A 3D lemniscate is the set of points whose product of squared distance to a given finite family of fixed points is constant. 3D lemniscates are the space analogs of the classical lemniscates in the plane studied in [5]. They are bounded algebraic surfaces whose degree is twice the number of foci. Within the field of computer aided geometric design (CAGD), 3D lemniscates have been considered in ...
متن کاملTwo-Dimensional Boundary-Conforming Orthogonal Grids for External and Internal Flows Using Schwarz-Christoffel Transformation
In this paper, a Schwarz-Christoffel method for generating two-dimensional grids for a variety of complex internal and external flow configurations based on the numerical integration procedure of the Schwarz-Christoffel transformation has been developed by using Mathematica, which is a general purpose symbolic-numerical-graphical mathematics software. This method is highly accurate (fifth order...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1999
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(98)00248-9