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title:
Tensor Product Wavelets by Extensions: Approximation Rates |
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name:
Friedrich |
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first name:
Ulrich
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location/conference:
SPP-JT11
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PRESENTATION-link:
http://www.dfg-spp1324.de/nuhagtools/event_NEW/dateien/SPP-JT11/talks/SPP-JT2011_04_friedrich.pdf |
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abstract:
On simple domains such as (parametric images) of the hypercube classical anisotropic tensor wavelts realize approximation rates that are independent of the spatial dimension.
Using extension operators the wavelet construction can be generalized to domains that are (prametric images) of nonoverlapping hypercubes.
We were able to show that the resulting new basis realizes the same dimension independent approximation rate and that the solution of Poisson type problems realizes the needed regularity condition. |
