Compressed plane waves yield a compactly supported multiresolution basis for the Laplace operator

Vidvuds Ozoliņš; Rongjie Lai; Russel Caflisch; Stanley Osher

doi:10.1073/pnas.1323260111

Compressed plane waves yield a compactly supported multiresolution basis for the Laplace operator

Vidvuds Ozoliņš, Rongjie Lai, Russel Caflisch, Stanley Osher

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

This paper describes an L1 regularized variational framework for developing a spatially localized basis, compressed plane waves, that spans the eigenspace of a differential operator, for instance, the Laplace operator. Our approach generalizes the concept of plane waves to an orthogonal real-space basis with multiresolution capabilities.

Original language	English (US)
Pages (from-to)	1691-1696
Number of pages	6
Journal	Proceedings of the National Academy of Sciences of the United States of America
Volume	111
Issue number	5
DOIs	https://doi.org/10.1073/pnas.1323260111
State	Published - Feb 4 2014

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Compressed plane waves yield a compactly supported multiresolution basis for the Laplace operator

Abstract

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