Multiresolution modeling with operator-customized wavelets derived from finite elements

DOI10.1016/j.cma.2005.05.012zbMath1125.74051OpenAlexW2042259916MaRDI QIDQ2384205

Kevin Amaratunga, R. Sudarshan

Publication date: 20 September 2007

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2005.05.012

zbMATH Keywords

Galerkin method\(h\)-adaptivityblock-diagonal stiffness matrices

Mathematics Subject Classification ID

Related Items (12)

Multiresolution analysis for finite element method using interpolating wavelet and lifting scheme ⋮ A study of multiscale wavelet-based elements for adaptive finite element analysis ⋮ Wavelet based schemes for linear advection-dispersion equation ⋮ ADAPTIVE TRIGONOMETRIC HERMITE WAVELET FINITE ELEMENT METHOD FOR STRUCTURAL ANALYSIS ⋮ A second generation wavelet based finite elements on triangulations ⋮ Multiscale modeling of beam and plates using customized second-generation wavelets ⋮ Spectral formulation of finite element methods using Daubechies compactly-supported wavelets for elastic wave propagation simulation ⋮ A numerical method based on Daubechies wavelet basis and B-spline patches for elasticity problems ⋮ Study on spline wavelet finite-element method in multi-scale analysis for foundation ⋮ A new wavelet-based thin plate element using B-spline wavelet on the interval ⋮ Two-phase damage detection of beam structures under moving load using multi-scale wavelet signal processing and wavelet finite element model ⋮ QUANTITATIVE IDENTIFICATION OF ROTOR CRACKS BASED ON FINITE ELEMENT OF B-SPLINE WAVELET ON THE INTERVAL

Cites Work

• On the multi-level splitting of finite element spaces
• Local decomposition of refinable spaces and wavelets
• Discrete Multiresolution Analysis Using Hermite Interpolation: Biorthogonal Multiwavelets
• Surface wavelets: a multiresolution signal processing tool for 3D computational modelling
• Generalized hierarchical bases: a Wavelet‐Ritz‐Galerkin framework for Lagrangian FEM
• The Lifting Scheme: A Construction of Second Generation Wavelets
• Spatially Adapted Multiwavelets and Sparse Representation of Integral Equations on General Geometries
• The use of ADINA for analysis of mines with explosive fills
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