Open AccessFinite Element Method to Solve Poisson’s Equation Using Curved Quadratic Triangular Elements
Author(s) -
G. Shylaja,
B. Venkatesh,
V. Kesavulu Naidu
Publication year - 2019
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/577/1/012165
Subject(s) - quadratic equation , mathematics , poisson's equation , finite element method , discretization , partial differential equation , mathematical analysis , poisson distribution , transformation (genetics) , order (exchange) , geometry , physics , biochemistry , statistics , chemistry , finance , gene , economics , thermodynamics
The paper discusses the finite element method to solve Poisson’s equation using quadratic order curved triangular elements. We use quadratic order point transformation to solve the partial differential equation. We observe that with quadratic order as the discretization of the domain element is increased, the error of the solution decreases.