%0 Journal Article
%A Wang, Youming
%A Wu, Qing
%A Fan, Yongqing
%D 2014
%I Begell House
%K finite element multiwavelet, operator-orthogonal, multiscale computation, elastic plate
%N 3
%P 193-209
%R 10.1615/IntJMultCompEng.2014007925
%T AN ADAPTIVE FINITE ELEMENT MULTIWAVELET-BASED METHOD FOR ELASTIC PLATE PROBLEMS
%U http://dl.begellhouse.com/journals/61fd1b191cf7e96f,60fb1fd0319aa9d9,1d693cbd4dcfa6a8.html
%V 12
%X 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.
%8 2014-05-19