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

Vidvuds Ozoliņš, Rongjie Lai, Russel Caflisch, Stanley Osher

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)1691-1696
Number of pages6
JournalProceedings of the National Academy of Sciences of the United States of America
Volume111
Issue number5
DOIs
StatePublished - Feb 4 2014

ASJC Scopus subject areas

  • General

Cite this

Compressed plane waves yield a compactly supported multiresolution basis for the Laplace operator. / Ozoliņš, Vidvuds; Lai, Rongjie; Caflisch, Russel; Osher, Stanley.

In: Proceedings of the National Academy of Sciences of the United States of America, Vol. 111, No. 5, 04.02.2014, p. 1691-1696.

Research output: Contribution to journalArticle

Ozoliņš, Vidvuds ; Lai, Rongjie ; Caflisch, Russel ; Osher, Stanley. / Compressed plane waves yield a compactly supported multiresolution basis for the Laplace operator. In: Proceedings of the National Academy of Sciences of the United States of America. 2014 ; Vol. 111, No. 5. pp. 1691-1696.
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