Open AccessNUMERICAL SOLUTION OF THE PROBLEM FOR POISSON’S EQUATION WITH THE USE OF DAUBECHIES WAVELET DISCRETE-CONTINUAL FINITE ELEMENT METHOD
Author(s) -
Marina L. Mozgaleva,
Pavel А. Akimov,
Mojtaba Aslami
Publication year - 2021
Publication title -
international journal for computational civil and structural engineering
Language(s) - English
Resource type - Journals
eISSN - 2588-0195
pISSN - 2587-9618
DOI - 10.22337/2587-9618-2021-17-4-123-133
Subject(s) - finite element method , daubechies wavelet , wavelet , mathematics , mixed finite element method , extended finite element method , discrete poisson equation , poisson's equation , discrete wavelet transform , mathematical analysis , mathematical optimization , computer science , wavelet transform , partial differential equation , artificial intelligence , structural engineering , laplace's equation , engineering
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.