3- A 2-mm by 1-mm rectangular domain is modeled using two linear triangular elements as shown below. a) Compute the system assembly matrix (should be 4x4) for the Laplace equation for this domain. 0.025 mm, U3 b) Let u = 0.02 mm, u2 the displacement in x direction of the point, P, located at (1,0.25) -0.015 mm and u4 0.000 mm. Using the shape functions, determine (35 points) 1.0 50x 1100 in

Elements Of Electromagnetics
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3- A 2-mm by 1-mm rectangular domain is modeled using two linear triangular elements as shown below.
a) Compute the system assembly matrix (should be 4x4) for the Laplace equation for this domain.
b) Let uj = 0.02 mm, u2= 0.025 mm, U3 = -0.015 mm and u4
0.000 mm. Using the shape functions, determine
the displacement in x direction of the point, P, located at (1,0.25)
(35 points)
1.0
3
814 PM
3/28/2022
Transcribed Image Text:3- A 2-mm by 1-mm rectangular domain is modeled using two linear triangular elements as shown below. a) Compute the system assembly matrix (should be 4x4) for the Laplace equation for this domain. b) Let uj = 0.02 mm, u2= 0.025 mm, U3 = -0.015 mm and u4 0.000 mm. Using the shape functions, determine the displacement in x direction of the point, P, located at (1,0.25) (35 points) 1.0 3 814 PM 3/28/2022
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