Answered: a) Determine the system element matrix…

a) Determine the system element matrix for the Laplace equation for each discretization. b) Determine the displacement at the center of the domain (0.5,0.5) in terms of the nodal

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A square domain is modeled using either one bilinear rectangular element or two linear
triangular elements as shown below.
a) Determine the system element matrix for the Laplace equation for each discretization.
b) Determine the displacement at the center of the domain (0.5,0.5) in terms of the nodal
displacement.
Hint: You need to assemble the stiffness matrix for the system on the right to form a 4*4 matrix
from the two 3*3 element matrices.
1.0
4.
1.0
3.
X-
1.0
1.0
2.
2.

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