Polynomial splines over locally refined box-partitions
Abstract
We address progressive local refinement of splines defined on axes parallel box-partitions and corresponding box-meshes in any space dimension. The refinement is specified by a sequence of mesh-rectangles (axes parallel hyperrectangles) in the mesh defining the spline spaces. In the 2-variate case a mesh-rectangle is a knotline segment. When starting from a tensor-mesh this refinement process builds what we denote an LR-mesh, a special instance...
Paper Details
Title
Polynomial splines over locally refined box-partitions
Published Date
Mar 1, 2013
Volume
30
Issue
3
Pages
331 - 356
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