NUMERICAL SOLUTION OF THE PROBLEM FOR POISSON’S EQUATION WITH THE USE OF DAUBECHIES WAVELET DISCRETE-CONTINUAL FINITE ELEMENT METHOD | International Journal for Computational Civil and Structural Engineering

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Published: Dec 26, 2021

DOI: https://doi.org/10.22337/2587-9618-2021-17-4-123-133

Keywords:

Daubechies wavelet discrete-continual finite element method, wavelet-based discrete-continual finite element method, discrete-continual finite element method, finite element method, Daubechies wavelet, numerical solution, Poisson’s equation

Marina Mozgaleva

National Research Moscow State University of Civil Engineering, Moscow, RUSSIA

Pavel Akimov

National Research Moscow State University of Civil Engineering, Moscow, RUSSIA

Mojtaba Aslami

Fasa University, Fasa, IRAN

Abstract

Numerical solution of the problem for Poisson’s equation with the use of Daubechies wavelet discrete continual finite element method (specific version of wavelet-based discrete-continual finite element method) is under consideration in the distinctive paper. The operational initial continual and discrete-continual formulations of the problem are given, several aspects of finite element approximation are considered. Some information about the numerical implementation and an example of analysis are presented.

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Mozgaleva, M., Akimov, P., & Aslami, M. (2021). NUMERICAL SOLUTION OF THE PROBLEM FOR POISSON’S EQUATION WITH THE USE OF DAUBECHIES WAVELET DISCRETE-CONTINUAL FINITE ELEMENT METHOD. International Journal for Computational Civil and Structural Engineering, 17(4), 123–133. https://doi.org/10.22337/2587-9618-2021-17-4-123-133

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Vol. 17 No. 4 (2021): International Journal for Computational Civil and Structural Engineering

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This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

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