Fast convergence of the Coiflet–Galerkin method for general elliptic BVPs

Hani Akbari

Displaying similar documents to “Fast convergence of the Coiflet–Galerkin method for general elliptic BVPs”

Embedding and a priori wavelet-adaptivity for Dirichlet problems

Andreas Rieder (2000)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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Fast convergence of the Coiflet-Galerkin method for general elliptic BVPs

Hani Akbari (2013)

International Journal of Applied Mathematics and Computer Science

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We consider a general elliptic Robin boundary value problem. Using orthogonal Coifman wavelets (Coiflets) as basis functions in the Galerkin method, we prove that the rate of convergence of an approximate solution to the exact one is O(2−nN ) in the H 1 norm, where n is the level of approximation and N is the Coiflet degree. The Galerkin method needs to evaluate a lot of complicated integrals. We present a structured approach for fast and effective evaluation of these integrals via trivariate...

evaluation of the $Ω_{j, k}^{m, n} (x)$ coefficients for PDE solving by wavelet-Galerkin approximation.

Popovici, Constantin I. (2010)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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Shannon wavelets theory.

Cattani, Carlo (2008)

Mathematical Problems in Engineering

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A numerical method for elliptic problems.

Sburlan, Cristina, Fulina, Silvia (2003)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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Daubechies wavelets on intervals with application to BVPs

Václav Finěk (2004)

Applications of Mathematics

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In this paper, Daubechies wavelets on intervals are investigated. An analytic technique for evaluating various types of integrals containing the scaling functions is proposed; they are compared with classical techniques. Finally, these results are applied to two-point boundary value problems.