A new wavelet multigrid method for the numerical solution of elliptic type differential equations
In this paper, we present a new wavelet multigrid method for the numerical solution of elliptic type differential equations based on Daubechies (db4) high pass and low pass filter coefficients with modified intergrid operators. The proposed method is the robust technique for faster convergence with...
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Format: | Article |
Language: | English |
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Elsevier
2018-03-01
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Series: | Alexandria Engineering Journal |
Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016816303398 |
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author | S.C. Shiralashetti M.H. Kantli A.B. Deshi |
author_facet | S.C. Shiralashetti M.H. Kantli A.B. Deshi |
author_sort | S.C. Shiralashetti |
collection | DOAJ |
description | In this paper, we present a new wavelet multigrid method for the numerical solution of elliptic type differential equations based on Daubechies (db4) high pass and low pass filter coefficients with modified intergrid operators. The proposed method is the robust technique for faster convergence with less computational cost which is justified through the error analysis and condition number of a system in comparison with integrated-RBF technique based on Galerkin formulation (Mai-Duy and Tran-Cong, 2009) and finite difference method. Some of the illustrative problems are presented to demonstrate the attractiveness of the proposed technique. Keywords: Wavelet multigrid, Daubechies filters, Elliptic differential equations, Condition number |
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format | Article |
id | doaj.art-b568072171d3410f8c7db15f2dc44ded |
institution | Directory Open Access Journal |
issn | 1110-0168 |
language | English |
last_indexed | 2024-12-22T09:23:24Z |
publishDate | 2018-03-01 |
publisher | Elsevier |
record_format | Article |
series | Alexandria Engineering Journal |
spelling | doaj.art-b568072171d3410f8c7db15f2dc44ded2022-12-21T18:31:08ZengElsevierAlexandria Engineering Journal1110-01682018-03-01571203209A new wavelet multigrid method for the numerical solution of elliptic type differential equationsS.C. Shiralashetti0M.H. Kantli1A.B. Deshi2Corresponding author. Fax: +91 836 347884.; Department of Mathematics, Karnatak University, Dharwad 580003, IndiaDepartment of Mathematics, Karnatak University, Dharwad 580003, IndiaDepartment of Mathematics, Karnatak University, Dharwad 580003, IndiaIn this paper, we present a new wavelet multigrid method for the numerical solution of elliptic type differential equations based on Daubechies (db4) high pass and low pass filter coefficients with modified intergrid operators. The proposed method is the robust technique for faster convergence with less computational cost which is justified through the error analysis and condition number of a system in comparison with integrated-RBF technique based on Galerkin formulation (Mai-Duy and Tran-Cong, 2009) and finite difference method. Some of the illustrative problems are presented to demonstrate the attractiveness of the proposed technique. Keywords: Wavelet multigrid, Daubechies filters, Elliptic differential equations, Condition numberhttp://www.sciencedirect.com/science/article/pii/S1110016816303398 |
spellingShingle | S.C. Shiralashetti M.H. Kantli A.B. Deshi A new wavelet multigrid method for the numerical solution of elliptic type differential equations Alexandria Engineering Journal |
title | A new wavelet multigrid method for the numerical solution of elliptic type differential equations |
title_full | A new wavelet multigrid method for the numerical solution of elliptic type differential equations |
title_fullStr | A new wavelet multigrid method for the numerical solution of elliptic type differential equations |
title_full_unstemmed | A new wavelet multigrid method for the numerical solution of elliptic type differential equations |
title_short | A new wavelet multigrid method for the numerical solution of elliptic type differential equations |
title_sort | new wavelet multigrid method for the numerical solution of elliptic type differential equations |
url | http://www.sciencedirect.com/science/article/pii/S1110016816303398 |
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