A Bernstein-Bezier Sufficient Condition for Invertibility of Polynomial Mapping Functions

Details A Bernstein-Bezier Sufficient Condition for Invertibility of Polynomial Mapping Functions A Bernstein-Bezier Sufficient Condition for Invertibility of Polynomial Mapping Functions

2003-08-11

arxiv.org/abs/cs/0308021v1

Computer Science

Numerical Analysis

Scientific paper

We propose a sufficient condition for invertibility of a polynomial mapping
function defined on a cube or simplex. This condition is applicable to finite
element analysis using curved meshes. The sufficient condition is based on an
analysis of the Bernstein-B\'ezier form of the columns of the derivative.

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