2009501436_&igrave;œ&nbsp;&ecirc;&acute;‘&igrave;„&nbsp;_hw#7

# 2009501436&igra - Home Work#6 Problem Set 3.5 3.5.2 Display the nonzeros in L Sol K 33 I 33 K 2 D 9 9 matrix K 3D = kron I K 2 D kron K 2 D I =

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Home Work. #6 Problem Set 3.5 3.5.2) Display the nonzeros in L. Sol) 3 3 3 3 , K I × × 2 9 9 K D matrix ⇒ × 3 ( , 2 ) ( 2 , ) 27 27 K D kron I K D kron K D I matrix = + = × <K2D matix> <K3D matix = 27x27> 2009-05-13

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Home Work. #6 < 3 K D LU = > < Use spy > 2009-05-13
Home Work. #6 Problem Set 3.6 3.6.4) (a) Show that this is 1 2 3 1 2 3 [ ] [ ] T e U U U K U U U with e K from(15) Sol) 2 3 3 2 3 1 3 1 2 1 1 2 1 (15) : : , 2 tan e i i c c c c equation Element matrix K c c c c c c c c c θ = + - - = - + - - - + 2 3 3 2 2 3 1 3 2 2 3 1 2 3 3 1 3 1 1 2 3 1 2 3 3 1 1 3 2 1 3 2 1 1 2 2 1 1 2 1 2 3 ( ) [ ] [ ] [ ] ( ) ( ) T c c c c c c U c U c U U U U c c c c U U U U U U c U c c U cU c c c c c U cU c c U + - - + - - - + - = - + + - - - + - - + + 1 2 3 1 3 2 2 3 2 3 1 1 3 2 1 3 3 2 1 1 2 1 2 3 2 2 2 2 2 2 3 3 2 3 1 1 1 3 3 1 3 2 2 2 1 1 2 2 1 2 3 2 2 2 2 3 1 1 3 2 1 2 3 (( ) ) ( ( ) ) ... ( ( ) ) ( ) ( ) ... ( ) ( ) ( ) ( ) U

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## This note was uploaded on 12/10/2009 for the course ME master taught by Professor Mon during the Spring '09 term at Hanyang University.

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2009501436&igra - Home Work#6 Problem Set 3.5 3.5.2 Display the nonzeros in L Sol K 33 I 33 K 2 D 9 9 matrix K 3D = kron I K 2 D kron K 2 D I =

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