Open AccessSecond-formulation adaptive wavelet optimization technique applicable in material sciences
Author(s) -
Arvind Kumar Sinha,
Radhakrushna Sahoo
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/798/1/012040
Subject(s) - wavelet , finite element method , mathematics , mathematical optimization , manifold (fluid mechanics) , extended finite element method , cascade algorithm , computer science , algorithm , mathematical analysis , wavelet transform , discrete wavelet transform , artificial intelligence , physics , mechanical engineering , engineering , thermodynamics
We developed a second-formulation adaptive wavelet optimize finite element (SFAWOFE) method on a general manifold with the help of approximation theory. The SFAWOFE method used to solve Burger’s equation with periodic and Dirichlet boundary conditions. The beauty of the SFAWOFE process is the numerical solution is optimized for the finite element method and does not affect the computational algorithm. We construct an algorithm for numerical results that have been optimized finite element method on a diffusion wavelet, which formed employing the adaptive wavelet plot. The algorithms and trial problems used to calculate magnetostatic networking range dipoles in material science. For the trial problem, the processing time checked out the SFAWOFE method has calculated and analyzed the analogous processing time checked out the finite element method on a general manifold. Finally, we verify the SFAWOFE method convergence for each trial problem and high efficient.