Predictor–corrector p- and hp-versions of the finite element method for Poisson’s equation in polygonal domains

2018 ◽  
Vol 333 ◽  
pp. 74-93 ◽  
Author(s):  
B. Nkemzi ◽  
S. Tanekou
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Poisson’S Equation ◽  
The Finite Element Method ◽  
Poisson's Equation ◽  
Polygonal Domains ◽  
Predictor Corrector ◽  
Element Method

scholarly journals LOCALIZATION OF SOLUTION OF THE PROBLEM FOR POISSON’S EQUATION WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHOD

2021 ◽  
Vol 17 (3) ◽  
pp. 157-172
Author(s):  
Marina Mozgaleva ◽  
Pavel Akimov
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Basis Functions ◽  
Poisson’S Equation ◽  
Numerical Implementation ◽  
Poisson's Equation ◽  
B Spline ◽  
Element Method

Localization of solution of the problem for Poisson’s equation with the use of B-spline discrete-continual finiteelement method (specificversion of wavelet-based discrete-continual finiteelement method) is under consideration in the distinctive paper. The original operational continual and discrete-continual formulations of the problem are given, some actual aspects of construction of normalized basis functions of a B-spline are considered, the corresponding local constructions for an arbitrary discrete-continual finiteelement are described, some information about the numerical implementation and an example of analysis are presented.

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