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Hat interpolation wavelet‐based multi‐scale Galerkin method for thin‐walled box beam analysis

https://doi.org/10.1002/nme.352
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Outgoing claims: the papers this work cites, builds on, or argues with.

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A wavelet-Galerkin scheme for analysis of large-scale problems on simple domains
inferredcites →https://doi.org/10.1002/(sici)1097-0207(19990610)45:4<473::aid-nme603>3.0.co;2-bopenalex-snapshot
Thin-walled closed box beam element for static and dynamic analysis
inferredcites →https://doi.org/10.1002/cpa.3160410705openalex-snapshot
Orthonormal bases of compactly supported wavelets
inferredcites →https://doi.org/10.1006/acha.1996.0001openalex-snapshot
A Wavelet Collocation Method for the Numerical Solution of Partial Differential Equations
inferredcites →https://doi.org/10.1006/jcph.1995.1194openalex-snapshot
A Multiscale Wavelet Solver with O(n) Complexity
inferredcites →https://doi.org/10.1007/bf02913819openalex-snapshot
Wavelet-Galerkin solution of boundary value problems
inferredcites →https://doi.org/10.1007/s002110050125openalex-snapshot
Wavelet solutions for the Dirichlet problem
inferredcites →https://doi.org/10.1016/b978-0-12-466606-1.x5000-4openalex-snapshot
A Wavelet Tour of Signal Processing
inferredcites →https://doi.org/10.1016/s0079-8169(13)62893-7openalex-snapshot
Pure and Applied Mathematics
inferredcites →https://doi.org/10.1051/m2an/1996300607111openalex-snapshot
A wavelet multigrid preconditioner for Dirichlet boundary value problems in general domains
inferredcites →https://doi.org/10.1090/s0025-5718-00-01252-7openalex-snapshot
Adaptive wavelet methods for elliptic operator equations: Convergence rates
inferredcites →https://doi.org/10.1109/78.258102openalex-snapshot
Multiresolution representations using the autocorrelation functions of compactly supported wavelets
inferredcites →https://doi.org/10.1109/tsp.78openalex-snapshot
IEEE Transactions on Signal Processing
inferredcites →https://doi.org/10.1115/1.2791796openalex-snapshot
Analysis of Thin-Walled Closed Beams With General Quadrilateral Cross Sections
inferredcites →https://doi.org/10.1137/s0036141095295127openalex-snapshot
Orthonormal Wavelet Bases Adapted for Partial Differential Equations with Boundary Conditions
inferredcites →https://doi.org/10.1137/s1064827597330613openalex-snapshot
Wavelet Methods for Second-Order Elliptic Problems, Preconditioning, and Adaptivity
inferredcites →https://doi.org/10.2514/6.1998-4952openalex-snapshot
Analysis in topology optimization problems using wavelet-Galerkin techniques

What points at this work

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Application of Wavelet Methods in Computational Physics
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Fracture mechanics analysis using the wavelet Galerkin method and extended finite element method
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Automatic Adaptive and Targeted Localized Refinement in Transient Structural Dynamic Simulations Using the Multiresolution Finite Wavelet Domain Method
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Multiscale Galerkin method using interpolation wavelets for two‐dimensional elliptic problems in general domains
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Wavelet-Based Solutions for Linear Boundary-Value Problems
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The 2D large deformation analysis using Daubechies wavelet
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A wavelet Galerkin method employing B-spline bases for solid mechanics problems without the use of a fictitious domain
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B-spline wavelet boundary element method for three-dimensional problems
inferred← citeshttps://doi.org/10.1007/s40819-019-0665-4openalex-snapshot
Galerkin Meshfree Methods: A Review and Mathematical Implementation Aspects
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A fast wavelet-multigrid method to solve elliptic partial differential equations
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Multi-scale B-spline method for 2-D elastic problems
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A polynomial extrapolation-based wavelet-Galerkin method for dynamic response reconstruction
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A Daubechies wavelet-based method for elastic problems
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Review of solution methodologies for structural analysis of composites
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A modified wavelet approximation of deflections for solving PDEs of beams and square thin plates
inferred← citeshttps://doi.org/10.1016/j.finel.2010.11.004openalex-snapshot
Multi-scale Daubechies wavelet-based method for 2-D elastic problems
inferred← citeshttps://doi.org/10.1016/j.finel.2013.11.001openalex-snapshot
Wavelet-based numerical analysis: A review and classification
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Remesh-free shape optimization using the wavelet-Galerkin method
inferred← citeshttps://doi.org/10.1016/s0020-7683(03)00417-7openalex-snapshot
Adaptive multiscale wavelet-Galerkin analysis for plane elasticity problems and its applications to multiscale topology design optimization
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A WAVELET-BASED ERROR ESTIMATOR AND AN ADAPTIVE SCHEME FOR PLATE BENDING PROBLEMS
inferred← citeshttps://doi.org/10.1155/2010/586718openalex-snapshot
A Wavelet Interpolation Galerkin Method for the Simulation of MEMS Devices under the Effect of Squeeze Film Damping
inferred← citeshttps://doi.org/10.1155/2016/2549213openalex-snapshot
A Numerical Method Based on Daubechies Wavelet Basis and B-Spline Patches for Elasticity Problems
inferred← citeshttps://doi.org/10.1260/1369-4332.16.11.1899openalex-snapshot
Adaptive Trigonometric Wavelet Composite Beam Element Method
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Multigrid Approach for Efficient Integrated Multiscale Analysis and Design Optimization
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Multiscale Wavelet-Galerkin Method in General Two-Dimensional Problems
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Eigenvalue Analysis of a Membrane Using the Multiscale Adaptive Wavelet-Galerkin Method
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A meshless method based on Daubechies wavelet for 2-D elastoplaticity problems
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DECAY CHARACTERISTICS OF THE HAT INTERPOLATION WAVELET COEFFICIENTS IN THE TWO-DIMENSIONAL MULTIRESOLUTION REPRESENTATION
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