Numerical Solution of Two dimensional Poison and Laplace Equation
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Date
2017
Authors
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Journal ISSN
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Publisher
Mathematical Association of Nigeria, Kwara State
Abstract
The study identifies the use of Finite Element Method with
both rectangular and Triangular elements in solving two di-
mensional problems with Dirichlet boundary condition in a
rectangular domain. We use the product functions of linear
polynomial basis constructed by (Aliu & Bamigbola, 2014)
on the rectangular elements. Attempt was made at con-
structing the basis functions for Triangular elements. The
Finite Difference scheme was also used for comparison. The
results obtained using both the rectangular and triangular
elements via the finite element method and the Central Fi-
nite Difference Scheme compared favourably with the exact
solution. The rectangular element however gives a better
approximation.