Solution of Equilibrium Equations in Static Analysis: LDLT Solution ...

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Error Estimate • Truncation errors (we solve equations exactly): • Round‐off errors: • Total errors: 15-Jun-07 Method of Finite Elements I 28
Error Estimate Bathe, page 749: Summary on truncation and roundoff errors in solving KU = R 15-Jun-07 Method of Finite Elements I 29
Page 1 and 2: Solution of Equilibrium Equations i
Page 3 and 4: Review ‐ Matrices • Positive‐
Page 5 and 6: Gauss elimination In a Gauss elimin
Page 7 and 8: Physical Interpretation A physical
Page 9 and 10: Physical Interpretation 15-Jun-07 M
Page 11 and 12: LDL T Solution The successive matri
Page 13 and 14: LDL T Solution K = LS Now = % where
Page 15 and 16: LDL T Solution Recall the pivots in
Page 17 and 18: LDL T Solution Algorithm: • Colum
Page 19 and 20: LDL T Solution Practical issues (2)
Page 21 and 22: LDL T Solution Example: K First, ge
Page 23 and 24: LDL T Solution j= 5: g 15 = k 15 =
Page 25 and 26: LDL T Solution V = V − l U r = m
Page 27: Error Estimate •Now we use t=3 di

Solution of Equilibrium Equations in Static Analysis: LDLT Solution ...

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