Locally Refinable Splines over Box-Partitions

GSTDTAP > 气候变化

	Locally Refinable Splines over Box-Partitions
	Dokken, Tor; Lyche, Tom Johan; Pettersen, Kjell Fredrik
	2012
出版年	2012
语种	英语
国家	挪威
出版者	SINTEF
领域	气候变化
英文摘要	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 of a box-mesh. On the LR-mesh we obtain a collection of hierarchically scaled B-splines, denoted LR B-splines, that forms a nonnegative partition of unity and spans the complete piecewise polynomial space on the mesh when the mesh construction follows certain simple rules. The dimensionality of the spline space can be determined using recent dimension formulas. Oppdragsgiver: SINTEF ; Research Council of Norway
URL	查看原文
来源平台	Center for International Climate and Environmental Research-Oslo (CICERO)
文献类型	科技报告
条目标识符	http://119.78.100.173/C666/handle/2XK7JSWQ/1743
专题	气候变化
推荐引用方式 GB/T 7714	Dokken, Tor,Lyche, Tom Johan,Pettersen, Kjell Fredrik. Locally Refinable Splines over Box-Partitions:SINTEF,2012.