Finite Element Theory These are functions. I want help finding the weak form for them, please find the weak formulation@ A4 = £+4=0②Au+u=S, U(0) = 0.③- 4 4 + 4 U f, 4(0) = 04+ A4 =-Au+AU+4 = {, U(0) = 1+⑤-AU + U²- §4(0)=16 - Au + JU + U = f 14 (0) = 0⑦- A 4 + 4 = 814107 0

Answered: Image /qna-images/answer/0a4f7d0e-625c-444d-897e-de8c10c298b7.jpg

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

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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Question

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

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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