The bubble transform: a new tool for analysis of finite element methods (Q5963085)
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scientific article; zbMATH DE number 6549976
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The bubble transform: a new tool for analysis of finite element methods |
scientific article; zbMATH DE number 6549976 |
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The bubble transform: a new tool for analysis of finite element methods (English)
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4 March 2016
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The purpose of this paper is to construct a decomposition of scalar functions on \(\Omega\) into a sum of functions with local support with respect to the triangulation. The decomposition is defined by a linear map referred to as the bubble transform, which maps the Sobolev space boundedly into a sum of local spaces. This transform is a useful tool for constructing local projection operators into finite element spaces.
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finite element methods
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simplicial mesh
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local decomposition of \(H^1\)
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preservation of piecewise polynomial spaces
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bubble transform
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