MS-E1653 - Finite Element Method D, 13.01.2021-13.04.2021

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  • Välj aktivitet Lecture notes

    

    Lecture notes Fil PDF

    Last updated: 12.3.2021 at 16:38
    

  • Välj aktivitet Corrections:- Pg. 8. definition of Sobolev space h...

    Corrections:
    - Pg. 8. definition of Sobolev space had v instead of u.
    - Pg. 16. Problem 5: missing parenthesis after sin.
    - Pg. 8. any strong solution is a weak solution, not the other way around.
    - Pg. 16. Problem 4: v->phi_j on LHS of second equation
    - Pg. 2-3. transformer -> transistor
    - Pg. 11. n -> N
    - Pg. 13. Fix indexing in the division of integral into intervals
    - Pg. 27. Missing parenthesis in P13. b)
    - Pg. 29. Wrong boundary value (1 -> 0)
    - Pg. 36. Cauchy-Schwarz -> Poincare-Friedrich
    - Pg. 36. C/2 -> 1/(2C)
    - Pg. 34. P19. u \in W_0, not V_0.
    - Pg. 30. Example 6.2. several errors.
    - Pg. 33. Added correct reference to problem
    - Pg. 37. Added reference to problem
    - Pg. 39. Fixed reference
    - Pg. 32. Missing {} in superscript
    - Pg. 36. eq (39), last u' is v'
    - Pg. 30. eq (30), first v is u
    - Pg. 32-33. All \omegas are I.
    - Pg. 30. Example 6.1, sign error in last integral
    - Pg. 48. P31: integration bounds up to 2 (instead of 1)
    - Pg. 40. Eq. (44), norm of u'', not abs.
    - Pg. 45. Lemma 8.2. b-a, not a-b.
    - Pg. 45. Eq. (53), missing hat on u
    - Pg. 47. P29 x^T M x = \| p \|^2_L2, not p'
    - Pg. 49. P31. Missing {} in subscript
    - Pg. 42. "Hence, w = -f", not w = f.
    - Pg. 61. Wrong midpoint rule sample position
    - Pg. 49. Missing assumption in P30.
    - Pg. 49. Incorrect inequality direction in the previously fixed assumption in P30.
    - Pg. 61. Convex hull sums to 1, not < 1.
    - Pg. 62. Missing \mathcal from T.
    - Pg. 49. P29, minor typos.
    - Pg. 63. P38, f(x) = x_2 (previously only defined in P34)
    - Pg. 59. Missing subscripts from b.
    - Pg. 62. P35, several minor corrections
    - Pg. 38. Missing absolute values on first equation
    - Pg. 51.-> Fixed inconsistent material parameter notation
    - Pg. 65. Eq (77) extra index.
    - Pg. 54. C -> K
    - Pg. 53. (Positive) constant
    - Pg. 66. Lemma 9.5. g \in C^1(T), not \hat{T}
    - Pg. 66. Lemma 9.5. transpose error
    - Pg. 67. Missing hat
    - Pg. 73. "=" should be "<=" and missing hat.
    - Pg. 71. Missing ref.
    - Pg. 72. Missing ref.
    - Pg. 76. K->T and x->z
    - Pg. 70.-> A handful of typos in text
    - Pg. 80. P48 Spurious hat
    - Pg. 82. First "convex" -> "simply connected"
    - Pg. 84. P51: Fixed domain angles to match P52
    - Pg. 84. P52. "pi" -> "\pi".
    - Pg. 81. Thm 10.5: "independent of f"
    - Pg. 1.-> "independent on" -> "independent of"