The Bubble Transform: A New Tool for Analysis of Finite Element Methods

Abstract

The purpose of this paper is to discuss the construction of a linear operator, referred to as the bubble transform, which maps scalar functions defined on Ω ⊂ Rn into a collection of functions with local support. In fact, for a given simplicial triangulation T of Ω, the associated bubble transform BT produces a decomposition of functions on Ω into a sum of… (More)
DOI: 10.1007/s10208-015-9252-1

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