Parallel Implementation of Wavelet Galerkin Method in Higher Dimensions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F13%3A%230001139" target="_blank" >RIV/46747885:24510/13:#0001139 - isvavai.cz</a>
Result on the web
<a href="http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4854761" target="_blank" >http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4854761</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Parallel Implementation of Wavelet Galerkin Method in Higher Dimensions
Original language description
Due to storage requirements and computational complexity, the approximate solution of PDEs computed by standard numerical methods is usually limited to problems with up to three or four dimensions. In our contribution, we use recently proposed wavelets based on quadratic splines to solve the Poisson equation with Dirichlet boundary conditions in higher dimensions. We describe here our algorithm of matrix-vector multiplication which takes account of the special structure of wavelet stiffness matrices andenables scalable parallelization. At the end, we show its performance for problems up to six dimensions.
Czech name
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Czech description
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Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'13), AIP Conference Proceedings, Vol. 1570
ISBN
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ISSN
0094-243X
e-ISSN
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Number of pages
6
Pages from-to
235-240
Publisher name
American Institute of Physics
Place of publication
MELVILLE, NY 11747-4501 USA
Event location
Sozopol
Event date
Jan 1, 2013
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
000346051300026

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