Adaptive Solution of the Biharmonic Problem with Shortly Supported Cubic Spline-Wavelets

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F12%3A%230000818" target="_blank" >RIV/46747885:24510/12:#0000818 - isvavai.cz</a>
Výsledek na webu
<a href="http://proceedings.aip.org/" target="_blank" >http://proceedings.aip.org/</a>
DOI - Digital Object Identifier
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Jazyk výsledku
angličtina
Název v původním jazyce
Adaptive Solution of the Biharmonic Problem with Shortly Supported Cubic Spline-Wavelets
Popis výsledku v původním jazyce
In our contribution, we design a cubic spline-wavelet basis on the interval. The basis functions have small support and wavelets have vanishing moments. We show that stiffness matrices arising from discretization of the two-dimensional biharmonic problemusing a constructed wavelet basis have uniformly bounded condition numbers and these condition numbers are very small. We compare quantitative behavior of adaptive wavelet method with a constructed basis and other cubic spline-wavelet bases, and show the superiority of our construction.
Název v anglickém jazyce
Adaptive Solution of the Biharmonic Problem with Shortly Supported Cubic Spline-Wavelets
Popis výsledku anglicky
In our contribution, we design a cubic spline-wavelet basis on the interval. The basis functions have small support and wavelets have vanishing moments. We show that stiffness matrices arising from discretization of the two-dimensional biharmonic problemusing a constructed wavelet basis have uniformly bounded condition numbers and these condition numbers are very small. We compare quantitative behavior of adaptive wavelet method with a constructed basis and other cubic spline-wavelet bases, and show the superiority of our construction.

Rok uplatnění
2012
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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