Wiley
Communications in Applied Numerical Methods
,  том 8 ,  издание 11 ,  страницы 819-825

Hierarchical method for elliptic problems using wavelet

Тип публикации: Journal Article
Дата публикации: 1992-11-01
Wiley
SJR: —
CiteScore: —
Impact factor: —
ISSN: 07488025, 15552047
General Engineering
Краткое описание
In this paper we explore the hierarchical structures of wavelets, and use them for solving the linear systems which arise in the discretization of the wavelet–Galerkin method for elliptic problems. It is proved that the condition number of the stiffness matrix with respect to the wavelet bases grows like O(log2H/h) in two dimensions, and the condition number of the wavelet preconditioning system is bounded by O(log2H/h) in d dimensions, instead of O(h−2) if the scaling function bases are used.
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Cai Z., E W. Hierarchical method for elliptic problems using wavelet // Communications in Applied Numerical Methods. 1992. Vol. 8. No. 11. pp. 819-825.
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Cai Z., E W. Hierarchical method for elliptic problems using wavelet // Communications in Applied Numerical Methods. 1992. Vol. 8. No. 11. pp. 819-825.
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TY - JOUR
DO - 10.1002/cnm.1630081105
UR - https://doi.org/10.1002/cnm.1630081105
TI - Hierarchical method for elliptic problems using wavelet
T2 - Communications in Applied Numerical Methods
AU - Cai, Zhi-Qiang
AU - E, Weinan
PY - 1992
DA - 1992/11/01
PB - Wiley
SP - 819-825
IS - 11
VL - 8
SN - 0748-8025
SN - 1555-2047
ER -
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@article{1992_Cai,
author = {Zhi-Qiang Cai and Weinan E},
title = {Hierarchical method for elliptic problems using wavelet},
journal = {Communications in Applied Numerical Methods},
year = {1992},
volume = {8},
publisher = {Wiley},
month = {nov},
url = {https://doi.org/10.1002/cnm.1630081105},
number = {11},
pages = {819--825},
doi = {10.1002/cnm.1630081105}
}
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Cai, Zhi-Qiang, and Weinan E. “Hierarchical method for elliptic problems using wavelet.” Communications in Applied Numerical Methods, vol. 8, no. 11, Nov. 1992, pp. 819-825. https://doi.org/10.1002/cnm.1630081105.