For the given boundary value problem, the exact solution is given as Φ = 3x − 7y. (a) Based on the exact solution, find the Φ values on all sides
For the given boundary value problem, the exact solution is given as Φ = 3x − 7y. (a) Based on the exact solution, find the Φ values on all sides
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
For the given boundary value problem, the exact solution is
given as Φ = 3x − 7y. (a) Based on the exact solution, find
the Φ values on all sides.

Transcribed Image Text:(3) For the given boundary value problem, the exact solution is
given as = 3x - 7y. (a) Based on the exact solution, find
the values on all sides, (b) discretize the domain into 16
elements and 15 evenly spaced nodes. Run poisson.m and
check if the finite element approximation and exact solution
matches, (c) plot the D values from step (b) using topo.m.
y
Side 3
Side 1
8.0
(4) The temperature distribution in a flat slab needs to be studied under the conditions shown i
the table. The ? in table indicates insulated boundary and Q is the distributed heat source. I
all cases assume the upper and lower boundaries are insulated. Assume that the units of length
energy, and temperature for the values shown are consistent with a unit value for the coefficier
of thermal conductivity.
Boundary Temperatures
6
Case
A
C
D.
D.
00
LEGION
Side 4
z epis
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