Mixed Algebraic methods and Local Tensor Product
Abstract
In the algebraic grid generation, mixed schemes
define a smooth transformation from the parameter domain
into the physical domain , that is . The Boolean sum guarantees
boundary conformity, while provides more degrees of
freedom by means of the control points. On the other hand, if we
need more control points in a specific part of the grid to
locally control the grid, we are forced to add control points
also in to the two strips intersecting each other in the region of
interest. Thus, we propose the use of a class of functions such that only
their restrictions in the subsets are tensor product functions.
[DOI: 10.1685 / CSC06055] About DOI
define a smooth transformation from the parameter domain
into the physical domain , that is . The Boolean sum guarantees
boundary conformity, while provides more degrees of
freedom by means of the control points. On the other hand, if we
need more control points in a specific part of the grid to
locally control the grid, we are forced to add control points
also in to the two strips intersecting each other in the region of
interest. Thus, we propose the use of a class of functions such that only
their restrictions in the subsets are tensor product functions.
[DOI: 10.1685 / CSC06055] About DOI
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PDFDOI: https://doi.org/10.1685/
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