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Affine fractal interpolation functions and wavelet-based finite elements

https://doi.org/10.1007/bf00364079
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Orthonormal bases of compactly supported wavelets
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Fast wavelet transforms and numerical algorithms I
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Biorthogonal bases of compactly supported wavelets
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A Wavelet Approach to Robust Multilevel Solvers for Anisotropic Elliptic Problems
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Fractal Functions and Wavelet Expansions Based on Several Scaling Functions
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Wavelet and Finite Element Solutions for the Neumann Problem Using Fictitious Domains
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Finite element analysis
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Neural Networks, Learning Automata and Iterated Function Systems
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Iterative Solution of Large Sparse Systems of Equations
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Vector Quantization and Signal Compression
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Recurrent Iterated Function Systems
inferredcites →https://doi.org/10.1007/978-3-663-14246-1_7openalex-snapshot
Biorthogonal Wavelets and Multigrid
inferredcites →https://doi.org/10.1007/978-94-011-1078-5_23openalex-snapshot
Wavelet Interpolation and Approximate Solutions of Elliptic Partial Differential Equations
inferredcites →https://doi.org/10.1007/bf01385617openalex-snapshot
Two preconditioners based on the multi-level splitting of finite element spaces
inferredcites →https://doi.org/10.1007/bf01385864openalex-snapshot
Multilevel preconditioning
inferredcites →https://doi.org/10.1007/bf01389538openalex-snapshot
On the multi-level splitting of finite element spaces
inferredcites →https://doi.org/10.1007/bf01462238openalex-snapshot
The hierarchical basis multigrid method
inferredcites →https://doi.org/10.1007/bf01889596openalex-snapshot
Recurrent iterated function systems
inferredcites →https://doi.org/10.1007/bf02071385openalex-snapshot
Wavelet compression and nonlinearn-widths
inferredcites →https://doi.org/10.1007/bf02072014openalex-snapshot
Wavelet approximation methods for pseudodifferential equations II: Matrix compression and fast solution
inferredcites →https://doi.org/10.1007/bf02252987openalex-snapshot
On the robustness of the dampedV-cycle of the wavelet frequency decomposition multigrid method
inferredcites →https://doi.org/10.1007/bf02571732openalex-snapshot
Wavelet approximation methods for pseudodifferential equations: I Stability and convergence
inferredcites →https://doi.org/10.1007/s002110050125openalex-snapshot
Wavelet solutions for the Dirichlet problem
inferredcites →https://doi.org/10.1016/0021-9045(89)90080-4openalex-snapshot
The calculus of fractal interpolation functions
inferredcites →https://doi.org/10.1016/b978-0-08-092458-8.50003-4openalex-snapshot
Preface
inferredcites →https://doi.org/10.1016/b978-0-12-174590-5.50012-5openalex-snapshot
Wavelets and Other Bases for Fast Numerical Linear Algebra
inferredcites →https://doi.org/10.1016/b978-0-12-174590-5.50023-xopenalex-snapshot
Orthonormal Wavelets, Analysis of Operators, and Applications to Numerical Analysis
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Fractal Functions, Fractal Surfaces, and Wavelets
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Multivariate piecewise polynomials
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Information-based complexity
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Ten Lectures on Wavelets
inferredcites →https://doi.org/10.1090/s0002-9947-1992-1076613-3openalex-snapshot
On Compactly Supported Spline Wavelets and a Duality Principle
inferredcites →https://doi.org/10.1093/biomet/81.3.425openalex-snapshot
Ideal Spatial Adaptation by Wavelet Shrinkage
inferredcites →https://doi.org/10.1109/18.119732openalex-snapshot
Entropy-based algorithms for best basis selection
inferredcites →https://doi.org/10.1109/18.119733openalex-snapshot
Image compression through wavelet transform coding
inferredcites →https://doi.org/10.1109/34.192463openalex-snapshot
A theory for multiresolution signal decomposition: the wavelet representation
inferredcites →https://doi.org/10.1109/78.258082openalex-snapshot
Matching pursuits with time-frequency dictionaries
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Fast wavelet techniques for near-optimal image processing
inferredcites →https://doi.org/10.1117/12.131730openalex-snapshot
Representing the geometry of domains by wavelets with applications to partial differential equations
inferredcites →https://doi.org/10.1117/12.49792openalex-snapshot
Wavelets and adaptive signal processing
inferredcites →https://doi.org/10.1126/science.243.4895.1142-aopenalex-snapshot
Information-Based Complexity
inferredcites →https://doi.org/10.1137/0730024openalex-snapshot
Using the Refinement Equation for Evaluating Integrals of Wavelets
inferredcites →https://doi.org/10.1137/1031128openalex-snapshot
Wavelets and Dilation Equations: A Brief Introduction
inferredcites →https://doi.org/10.1137/s0036141093256526openalex-snapshot
Construction of Orthogonal Wavelets Using Fractal Interpolation Functions
inferredcites →https://doi.org/10.1201/9781439863619openalex-snapshot
Adapted Wavelet Analysis
inferredcites →https://doi.org/10.2514/6.1993-1539openalex-snapshot
Calculation of Numerical Boundary Measure for Wavelet-Galerkin Approximations in Aeroelasticity
inferredcites →https://doi.org/10.2514/6.1993-1674openalex-snapshot
Wavelet Galerkin METHODES FOR GAME THEORETIC CONTROL OF DISTRIBUTED PARAMETER SYSTEMS
inferredcites →https://doi.org/10.2514/6.1994-1334openalex-snapshot
Wavelet Galerkin multigrid methods
inferredcites →https://doi.org/10.2514/6.1994-1388openalex-snapshot
A class of wavelet-based finite element methods for computational mechanics
inferredcites →https://doi.org/10.2514/6.1994-1453openalex-snapshot
On the stability of numerical boundary measures in wavelet Galerkin methods
inferredcites →https://doi.org/10.2514/6.1995-1410openalex-snapshot
Affine fractal interpolation functions and wavelet-based finite elements
inferredcites →https://doi.org/10.4324/9780203301579-10openalex-snapshot
Finite-element analysis

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/s00466-003-0424-5openalex-snapshot
Rapid stress analysis of geometrically complex domains using implicit meshing
inferred← citeshttps://doi.org/10.1007/s00466-009-0433-0openalex-snapshot
The 2D large deformation analysis using Daubechies wavelet
inferred← citeshttps://doi.org/10.1007/s004660050252openalex-snapshot
Multiresolution reproducing kernel particle methods
inferred← citeshttps://doi.org/10.1007/s00707-015-1306-6openalex-snapshot
An extended wavelet Galerkin method with a high-order B-spline for 2D crack problems
inferred← citeshttps://doi.org/10.1007/s10543-019-00774-3openalex-snapshot
Affine zipper fractal interpolation functions
inferred← citeshttps://doi.org/10.1016/j.enganabound.2009.08.004openalex-snapshot
A Daubechies wavelet-based method for elastic problems
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/s0960-0779(96)00047-1openalex-snapshot
Fractal functions and their applications
inferred← citeshttps://doi.org/10.1016/s1874-608x(97)80012-xopenalex-snapshot
Scaling Function and Wavelet Preconditioners for Second Order Elliptic Problems
inferred← citeshttps://doi.org/10.1142/s0218348x20501364openalex-snapshot
MULTIVARIATE AFFINE FRACTAL INTERPOLATION
inferred← citeshttps://doi.org/10.2514/3.13291openalex-snapshot
One-dimensional finite elements based on the Daubechies family of wavelets
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