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

NUMERICAL SOLUTION OF THE PROBLEM FOR POISSON’S EQUATION WITH THE USE OF DAUBECHIES WAVELET DISCRETE-CONTINUAL FINITE ELEMENT METHOD

Marina Mozgaleva, Pavel Akimov, Mojtaba Aslami
123-133 DOI 10.22337/2587-9618-2021-17-4-123-133 Published 2021-12-26
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NUMERICAL SOLUTION OF THE PROBLEM FOR POISSON’S EQUATION WITH THE USE OF DAUBECHIES WAVELET DISCRETE-CONTINUAL FINITE ELEMENT METHOD

Authors

  • 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

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

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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Published

2021-12-26

Issue

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

Section

Research article

License

Creative Commons License

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

How to Cite

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

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

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