Meng 4553 (3 Crd Hrs) Finite Element Method & Applications in Design



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Course Delivery Plan, by Dates


#

LECTURE DATES

COURSE

MODULE & REFERENCES



CLASS SESSIONS

(LEC + 1Hr PS)



REMARKS

1

September 5th
September 8th 2020

Model PDEs
(chp. 1)

2+1

PPT Chapter 01

Problem set

2

September 12th
September 22nd 2020

BVP Weak form
(chp. 2)

4+2

PPT Chapter 02

Problem set

3

September 26th 2020

Weak form in finite dimensions
(chp. 3)

1

PPT Chapter 03

Problem set

4

September 29th – October 3rd 2020

Piecewise Polynomials and FEM
(chp. 4)

2+1

PPT Chapter 04

Problem set

5

October 6th
October 10th 2020

FEM Convergence (a priori)
(chp. 5)

2+1

PPT Chapter 05

Problem set

6

October 13th
October 20th 2020

Mesh Data Structures
(chp. 6)

3+1

PPT Chapter 06

EXAM, Problem set

7

October 24th
October 31st 2020

Programming the FEM, Simple BVP
(chp 7)

3+1L

PPT Chapter 07

Problem set

8

November 3rd
November 7th 2020

Solving general BVPs, considerations
(chp. 9)

2

PPT Chapter 09

Problem set

9

November 10th 2020

Direct Solvers
(chp. 10)

1+1

PPT Chapter 10

Problem set

10

November 14th
November 21st 2020

Iterative Solvers
(chp. 11)

3+1

PPT Chapter 11

Problem set

11

November 24th
November 28th 2020

Adaptive Meshing (A-posteriori Error-based)

(chp. 14)



2

PPT Chapter 14

Problem set

12

December 1st
December 5th 2020

A posteriori error indicators/estimators

(chp. 15)



2+1

PPT Chapter 15

Problem set


Course Practice Problems
All students are expected to solve the problems below on their own, during the course of the semester. Each problem-set below pertains to its corresponding course chapter, and should be completed within one week of that chapter’s completion date, as per the table above. These problems are not all to be graded, but the midterm will consist of my scoring some of the submitted problems at random (which, will not be preannounced) on a given date.


1

PPT Chapter #1: Model Linear PDEs

Chp1: 1,3,5 and 7 (PS: 2,4 and 8)

Lab: Pressure effect on Journal Bearing

2

PPT Chapter #2: BVP Weak form

Chp2: 1,3,5,11 and 19 (PS: 9, 12 and 13)

Lab: Temperature effect on Journal Bearing

3

PPT Chapter #3: Weak form in finite dimensions

Chp3: 1 and 3 (PS: 2)

Lab: Fixture effect on Crankshaft

4

PPT Chapter #4: Piecewise Polynomials and FEM.

Chp4: 1,14 and 17 (PS: E4.1, 2 and 8)

Lab: Thermo-elasticity of Crankshaft

5

PPT Chapter #5: FEM Convergence (A-priori)

Chp5: 1,3 and 4 (PS: 2, and 5)

Lab: Adapting the mesh, investigation

6

PPT Chapter #6: Mesh Data Structures

Chp6: 2,4 and 5 (PS: 1 and 3)

Lab: MATLAB FE Codes, Training session

7

PPT Chapter #7: Programming the FEM, Simple BVP

Chp7: 1,3,7,11 and 14 (PS: 4,8,10 and 12)

Lab: Run & Modify Codes, Relate to Project

8

PPT Chapter #9: Solving general BVPs, considerations

Chp9: 1,5,7 and 8 (PS: 3 and 6)

Lab: Run & Modify Codes, Relate to Project

9

PPT Chapter #10: A Direct Solver

Chp10: 1,3 and 5 (PS: 2 and 4)

Lab: Run & Modify Codes, Relate to Project

10

PPT Chapter #11: An Iterative Solver

Chp11: 1,3,5 and 9 (PS: 2,4 and 8)

Lab: Run & Modify Codes, Relate to Project

11

PPT Chapter #14: Adaptive Meshing (Error-based)

Chp14: 1,3,5 and 7 (PS: 2a,4 and 8)

Lab: Run & Modify Codes, Relate to Project

12

PPT Chapter #15: A posteriori error indicators/estimators

Chp15: 2,3,5,6 and 9 (PS: 1,4 and 11)

Lab: Run & Modify Codes, Relate to Project


Course Grading, Cutoff Scores

A 92%, A- 89%,

B+ 84%, B 79%, B- 76%,

C+ 71%, C 66%, C- 63%,

D+ 58%, D 53%, F < 53%


Course Grading, Breakdown



Grade 1

In-Lab/In-class Activities (Individual)

  • FEA/CAD, and/or MATLAB. (Due: Weekly)

20%

Grade 2

Theory Midterm Exam: October 20th 2020

  • Based on grading submissions of problems from Chapters #1 – 5

  • One problem per chapter will be picked at random (same for all) and scored.

20%

Grade 3

Practical Final Exam: See exams schedule

  • Based on Chapter #’s {6, 7, 9, 10, 11}. Same grading strategy as midterm.

20%

Grade 4

Project (Groups of 2 or 3), milestones posted on September 30th 2020.

40%

Grade

5


Bonuses

  1. Any significant typo spotted in the slides, +0.2%

  2. Any significant error spotted in the solutions/codes provided, +0.25%

--

Course Rules of Engagement

  • You may discuss with me your grades, but not my grading scheme.

  • No grade “curving” applies.

  • If any submission is late, the score earned on it will be halved. No exceptions.

  • Reports are all to be typeset and structured according to professional engineering standards.

    • Incorrect use of language, formatting, citation, etc. will all affect your score.

  • Class meeting attendance is expected, but attendance is not routinely taken.

  • Disability Accommodation: any student with a proven special need should submit an official document to that effect from the Student Well-being Department before the end of September.

  • AUC’s Code of Academic Integrity will be enforced:
    http://in.aucegypt.edu/auc-academics/academic-integrity/codeacademic-integrity.



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