Solution Manual for The Finite Element Method: Basic Concepts and Applications with MATLAB, MAPLE, and COMSOL,, 3rd Edition

Get quick and accurate answers to your textbook questions with Solution Manual for The Finite Element Method: Basic Concepts and Applications with MATLAB, MAPLE, and COMSOL,, 3rd Edition, a detailed guide to solving every exercise.

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Solution Manual for The Finite Element Method: Basic Concepts and Applications with MATLAB, MAPLE, and COMSOL,, 3rd Edition - Page 1 preview image

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2.1Fillin thedetailsleading toEq. (2.17)anduseit tofindtheweighted residualsformulation of Example 2.1Solution:a)dxck = 0(Eq.l.U)Integration by parts:udv=uv'%Jw.Set" - ^ Wand^ ^ ^ _ ^ ^ , t h e nv=-K^^"'^ du=^dxdxdxd^Tdx^dx - (j>{x) -KVdJ^dxdx dx-KdTLd^dx dxdxSubstitute into Eq. 2.13 and we get°dx dxdx= 0{Eq.lAl)b)7(0) =and-K dTdxx=LKT-TJReplacing in Eq. 2.17K dx dx dx-^Qdx-^(L)h(T(L)-TJ= 0

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