find the weak formulation @ A4 = £ +4=0 ② Au+u=S, U(0) = 0. ③- 4 4 + 4 U f, 4(0) = 0 4+ A4 = -Au+AU+4 = {, U(0) = 1 + ⑤-AU + U²- § 4(0)=1 6 - Au + JU + U = f 14 (0) = 0 ⑦- A 4 + 4 = 8 14107 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 54E
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Finite Element Theory These are functions. I want help finding the weak form for them, please
find the weak formulation
@ A4 = £
+4=0
②
Au+u=S, U(0) = 0.
③- 4 4 + 4 U f, 4(0) = 0
4+ A4 =
-Au+AU+4 = {, U(0) = 1
+
⑤-AU + U²- §
4(0)=1
6 - Au + JU + U = f 14 (0) = 0
⑦- A 4 + 4 = 8
14107 0
Transcribed Image Text:find the weak formulation @ A4 = £ +4=0 ② Au+u=S, U(0) = 0. ③- 4 4 + 4 U f, 4(0) = 0 4+ A4 = -Au+AU+4 = {, U(0) = 1 + ⑤-AU + U²- § 4(0)=1 6 - Au + JU + U = f 14 (0) = 0 ⑦- A 4 + 4 = 8 14107 0
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