Abstract
One of the intractable problems in multiresolution structural analysis is the decoupling computation between scales, which can be realized by the operator-orthogonal wavelets based on the lifting scheme. The multiresolution finite element space is described and the formulation of multiresolution finite element models for structural problems is discussed. Various operator-orthogonal wavelets are constructed by the lifting scheme according to the operators of multiresolution finite element models. A dynamic multiresolution algorithm using operator-orthogonal wavelets is proposed to solve structural problems. Numerical examples demonstrate that the lifting scheme is a flexible and efficient tool to construct operator-orthogonal wavelets for multiresolution structural analysis with high convergence rate.
| Original language | English |
|---|---|
| Pages (from-to) | 175-190 |
| Number of pages | 16 |
| Journal | Structural Engineering and Mechanics |
| Volume | 35 |
| Issue number | 2 |
| DOIs | |
| State | Published - 30 May 2010 |
Keywords
- Lifting scheme
- Multiresolution finite element
- Operator-orthogonal wavelet
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