Mean value interpolation in algebraic numerical grid generation

Transfinite mean value interpolation has recently emerged as a simple and robust way to interpolate a function defined on the boundary of a planar domain. We here show how to use transfinite mean value interpolation as an algebraic method to construct a numerical grid matching the boundary of a planar domain. This new algebraic method turns out to be particularly effective for planar domains with holes. Comparison with classical transfinite methods, as bilinear blending or mixed schemes, are considered.