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math.NA2026
Local power of approximation in hierarchical spline spaces on weakly admissible meshes
Gustavo A. Fernandez Lezcano, Eduardo M. Garau, Bárbara Ivaniszyn
We study local approximation properties in hierarchical spline spaces through a twofold approach. First, we design and analyze a robust adaptive refinement algorithm to construct l…
math.NA2025
Left Inverses for B-spline Subdivision Matrices in Tensor-Product Spaces
Marcelo Actis, Silvano Figueroa, Eduardo M. Garau
In this article, we study dyadic coarsening operators in univariate spline spaces and in tensor-product spline spaces over uniform grids. Our construction is strongly motivated by…
math.NA2023
Error analysis for local coarsening in univariate spline spaces
Silvano Figueroa, Eduardo M. Garau, Pedro Morin
In this article we analyze the error produced by the removal of an arbitrary knot from a spline function. When a knot has multiplicity greater than one, this implies a reduction of…