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Full Record Details
DOI
10.5286/raltr.2008012
Persistent URL
http://purl.org/net/epubs/work/50392
Record Status
Checked
Record Id
50392
Title
Discrete interpolation norms with applications
Contributors
M Arioli (STFC Rutherford Appleton Lab.)
,
D Loghin (Birmingham U.)
Abstract
We describe norm representations for interpolation spaces generated by finite-dimensional subspaces of Hilbert spaces. These norms are products of integer and non-integer powers of the Grammian matrices associated with the generating pair of spaces for the interpolation space. We include a brief description of some of the algorithms which allow the efficient computation of matrix powers. We consider in some detail the case of fractional Sobolev spaces both for positive and negative indices together with applications arising in preconditioning techniques. Numerical experiments are included.
Organisation
CSE
,
CSE-NAG
,
STFC
Keywords
Approximation of PDE
,
Pseudo differential operators
,
Interpolation Sobolev spaces
Funding Information
Related Research Object(s):
49210108
Licence Information:
Language
English (EN)
Type
Details
URI(s)
Local file(s)
Year
Report
RAL Technical Reports
RAL-TR-2008-012. STFC, 2008.
arlogTR2008_12.pdf
2008
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