Journal ArticleDOI
Daubechies wavelet beam and plate finite elements
TLDR
In this article, the feasibility of a hybrid scheme using Daubechies wavelet functions and the finite element method to obtain numerical solutions of some problems in structural mechanics is investigated.About:
This article is published in Finite Elements in Analysis and Design.The article was published on 2009-02-01. It has received 96 citations till now. The article focuses on the topics: Daubechies wavelet & Mixed finite element method.read more
Citations
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Journal ArticleDOI
New algorithms for the numerical solution of nonlinear Fredholm and Volterra integral equations using Haar wavelets
Imran Aziz,Siraj-ul-Islam +1 more
TL;DR: The advantage of the proposed new algorithms based on Haar wavelets is that it does not involve any intermediate numerical technique for evaluation of the integral present in integral equations.
Journal ArticleDOI
Wavelets collocation methods for the numerical solution of elliptic BV problems
TL;DR: In this article, two efficient and new numerical methods are proposed for the numerical solution of elliptic partial differential equations having oscillatory and non-oscillatory behavior based on collocation with Haar and Legendre wavelets.
Journal ArticleDOI
Quadrature rules for numerical integration based on Haar wavelets and hybrid functions
TL;DR: Haar wavelets and hybrid functions have been applied for numerical solution of double and triple integrals with variable limits of integration and the novel methods are compared with existing methods and applied to a number of benchmark problems.
Journal ArticleDOI
Free vibration and buckling analysis of plates using B-spline wavelet on the interval Mindlin element
TL;DR: In this paper, a finite element method (FEM) of B-spline wavelet on the interval (BSWI) is used to solve the free vibration and buckling problems of plates based on Reissner-Mindlin theory.
Journal ArticleDOI
A numerical assessment of parabolic partial differential equations using Haar and Legendre wavelets
TL;DR: In this article, the authors presented two new numerically stable methods based on Haar and Legendre wavelets for one and two-dimensional parabolic partial differential equations (PPDEs).
References
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Book
Ten lectures on wavelets
TL;DR: This paper presents a meta-analyses of the wavelet transforms of Coxeter’s inequality and its applications to multiresolutional analysis and orthonormal bases.
Journal ArticleDOI
Ten Lectures on Wavelets
TL;DR: In this article, the regularity of compactly supported wavelets and symmetry of wavelet bases are discussed. But the authors focus on the orthonormal bases of wavelets, rather than the continuous wavelet transform.
Journal ArticleDOI
Orthonormal bases of compactly supported wavelets
TL;DR: This work construct orthonormal bases of compactly supported wavelets, with arbitrarily high regularity, by reviewing the concept of multiresolution analysis as well as several algorithms in vision decomposition and reconstruction.
Book
Finite element procedures in engineering analysis
Klaus-Jürgen Bathe,H. Saunders +1 more
TL;DR: Elements finis Reference Record created on 2004-09-07, modified on 2016-08-08.
Book
An introduction to wavelets
TL;DR: An Overview: From Fourier Analysis to Wavelet Analysis, Multiresolution Analysis, Splines, and Wavelets.