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国际多尺度计算工程期刊
影响因子: 1.016 5年影响因子: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN 打印: 1543-1649
ISSN 在线: 1940-4352

国际多尺度计算工程期刊

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

ABSTRACT

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.