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Polynomial reconstruction of staggered unstructured vector fields. (English) Zbl 1224.41029

Author’s abstract (modified): The polynomial reconstruction of staggered unstructured vector fields is considered. Coefficients of such polynomials are determined by the least squares method. Reduction in the rank of the least squares systems caused by the over-specification of the divergence may lead to difficulties; this is investigated. The rank of these systems may be further reduced depending on the mesh’s geometry, or they may become ill conditioned. Guidelines for solving such linear systems are presented.

MSC:

41A10 Approximation by polynomials
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