Problem 1 • construct the weak forms and, the associated quadratic functional (I) for: d dx [a du (1+2x²). + u = x² dx u(0) = 1, (du) = 2 x= Problem 2 ⚫ construct the weak forms and, the associated quadratic functional (I) for: d du и +f=0 for 0 < x <1 dx dx du = 0 u(1) = √√2 dx x=0

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Finite Element Analysis. Solve step by step

Problem 1
• construct the weak forms and, the associated quadratic functional (I) for:
d
dx
[a
du
(1+2x²).
+ u = x²
dx
u(0) = 1,
(du)
=
2
x=
Transcribed Image Text:Problem 1 • construct the weak forms and, the associated quadratic functional (I) for: d dx [a du (1+2x²). + u = x² dx u(0) = 1, (du) = 2 x=
Problem 2
⚫ construct the weak forms and, the associated quadratic functional (I)
for:
d
du
и
+f=0 for 0 < x <1
dx
dx
du
= 0 u(1) = √√2
dx
x=0
Transcribed Image Text:Problem 2 ⚫ construct the weak forms and, the associated quadratic functional (I) for: d du и +f=0 for 0 < x <1 dx dx du = 0 u(1) = √√2 dx x=0
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