Daubechies小波有限元联系系数计算的广义最小二乘-复化梯形求积法
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Release time:2019-11-22 DOI number:10.11817/j.issn.1672-7207.2015.12.026 Affiliation of Author(s):中南大学地球科学与信息物理学院 Teaching and Research Group:应用地球物理系 Journal:中南大学学报 Place of Publication:中国 Funded by:41574116，2015CX008，NCET-12-0551，2015ZZTS249，2014JSJJ001 Key Words:Daubechies小波; 小波有限元; 联系系数; 最小二乘法; 复化梯形求积法 Abstract:针对目前Daubechies小波有限元联系系数计算中附加方程复杂、计算结果会随附加方程个数的不同而改变、计算难度大,计算精度不高等现状,基于二维可分离小波理论,将复化梯形求积法与传统方法中未加载附加条件的滤波系数方程组相结合,先用复化梯形求积法求出若干个联系系数的初值,再结合广义最小二乘法理论,推导出基于[0,1]区间任意尺度下的Daubechies小波有限元联系系数的计算公式。研究结果表明:所提出的广义最小二乘-复化梯形求积法(GLS-CTQM)降低了联系系数求解难度,不仅能求得高精度的联系系数,而且可根据实际精度需求灵活地改变求积步长、选取不同求积公式,易于编程实现,计算效率和计算精度较梯形求积方法都有所提高。 Co-author:王珣, 杨炳坤, 杜华坤 First Author:冯德山 Indexed by:Applied Research Document Code:DOI: 10.11817/j.issn.1672-7207.2015.12.026 Discipline:地质资源与地质工程 Document Type:J Volume:46 Issue:12 Page Number:4578-4583 ISSN No.:1672-7207 Translation or Not:no Date of Publication:2015-12-26 Included Journals:EI -
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