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

 Page 4/4 Date 18.11.2021 Size 350.92 Kb.
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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

A 92%, A- 89%,

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

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

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

 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 Any significant typo spotted in the slides, +0.2% Any significant error spotted in the solutions/codes provided, +0.25% --

Course Rules of Engagement

• 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: