Journal ArticleDOI
Wavelets‐Galerkin scheme for a Stokes problem
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This note presents a wavelets‐Galerkin scheme for the numerical solution of a Stokes problem by using the scaling function of a symmetric biorthogonal spline wavelets that can be modified to generate the divergence‐free wavelets.Abstract:
This note presents a wavelets-Galerkin scheme for the numerical solution of a Stokes problem by using the scaling function of a symmetric biorthogonal spline wavelets that can be modified to generate the divergence-free wavelets. © 2003 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 20: 193–198, 2004read more
Citations
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Dissertation
Flamelet modelling of soot formation in diffusion flames
TL;DR: In this paper, the steady and unsteady flamelet models have been applied to soot formation in laminar and turbulent diffusion flames, and it was shown that the steady flamelet model allows the inclusion of many transient processes and thereby loses in accuracy compared with the unsteedy model.
Journal ArticleDOI
Using divergence free wavelets for the numerical solution of the 2-D stationary Navier-Stokes equations
Xiaolin Zhou,Yinnian He +1 more
TL;DR: A Galerkin-wavelet scheme is presented for solving the 2-D stationary Navier-Stokes equations using the scaling generator of the divergence free wavelets and some ''boundary'' generators are constructed to improve the approximation accuracy.
Book ChapterDOI
Wavelet-Galerkin Methods
TL;DR: In this article, the degrees of freedom are the expansion coefficients of a set of basis functions and these expansion coefficients are not in physical space anymore (i.e., expansion coefficients were in wavelet space).
References
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Journal ArticleDOI
Using the refinement equation for evaluating integrals of wavelets
TL;DR: The Wavelet Galerkin Method for solving partial differential equations leads to the problem of computing integrals of products of derivatives of wavelets as discussed by the authors, which is the problem from the point of view of stationary subdivision schemes, and these integrals are identified as components of the unique solution of a certain eigenvector-moment problem associated with the coefficients of the refinement equation.
Journal ArticleDOI
On divergence-free wavelets
TL;DR: This paper develops a certain relationship between partial derivatives of refinable functions and wavelets with modifications of the coefficients in their refinement equation and demonstrates that the wavelets constructed form a Riesz-basis for the space of divergence-free vector fields.
Journal ArticleDOI
Connection coefficients on an interval and wavelet solutions of Burgers equation
E. B. Lin,X. Zhou +1 more
TL;DR: In this article, a semi-implicit time difference scheme was used to solve Burgers equation by applying the evaluations of connection coefficients in calculating the integrals of the variational form.
Journal ArticleDOI
On the Effective Construction of Compactly Supported Wavelets Satisfying Homogenous Boundary Conditions on the Interval.
G. Chiavassa,J. Liandrat +1 more
TL;DR: In this article, compactly supported wavelet bases satisfying homogeneous boundary conditions on the interval (0, 1) were constructed and the maximum features of multiresolution analysis on the line were retained, including polynomial approximation and tree algorithms.
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