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

Result code in IS VaVaI

RIV/46747885:24510/12:#0000818 - isvavai.cz

Result on the web

http://proceedings.aip.org/

DOI - Digital Object Identifier

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Result language

angličtina

Original language name

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

Original language description

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.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2012

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

AIP Conference Proceedings

ISBN

978-0-7354-1091-6

ISSN

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e-ISSN

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Number of pages

4

Pages from-to

1379-1382

Publisher name

American Institute of Physics

Place of publication

New York

Event location

Kos, Greece

Event date

Jan 1, 2012

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

310698100332