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International Journal for Multiscale Computational Engineering
Импакт фактор: 1.016 5-летний Импакт фактор: 1.194 SJR: 0.452 SNIP: 0.68 CiteScore™: 1.18

ISSN Печать: 1543-1649
ISSN Онлайн: 1940-4352

Выпуски:
Том 17, 2019 Том 16, 2018 Том 15, 2017 Том 14, 2016 Том 13, 2015 Том 12, 2014 Том 11, 2013 Том 10, 2012 Том 9, 2011 Том 8, 2010 Том 7, 2009 Том 6, 2008 Том 5, 2007 Том 4, 2006 Том 3, 2005 Том 2, 2004 Том 1, 2003

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2014007925
pages 193-209

AN ADAPTIVE FINITE ELEMENT MULTIWAVELET-BASED METHOD FOR ELASTIC PLATE PROBLEMS

Youming Wang
School of Automation, Xi'an University of Posts and Telecommunications, Xi'an 710121, China; State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China
Qing Wu
School of Automation, Xi'an University of Posts and Telecommunications, Xi'an 710121, China
Yongqing Fan
School of Automation, Xi'an University of Posts and Telecommunications, Xi'an 710121, China

Краткое описание

A new kind of finite element multiwavelets is constructed for multiscale analysis of elastic plate problems. The multiscale computation framework for engineering problems is introduced and the operators of elastic plate problems are derived. The lifting scheme is adopted to construct finite element multiwavelets that are operator-orthogonal with the scaling functions in multiresolution finite element space. An adaptive finite element multiwavelet method is proposed for solving elastic plate problem based on relative error estimator. The advantage of the proposed method is that the engineering problems can be solved independently at each level and the gradient changes or singularities in local domains can be captured effectively. Numerical examples show that the finite element multiwavelet method is accurate and efficient for solving elastic plate problems.


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