Syllabus for |
|
| MHA165 - Finite element method, advanced course |
| |
| Owner: TMASA |
|
|
5,0 Credits (ECTS 7,5) |
| Grading: TH - Five, Four, Three, Not passed |
| Level: A |
|
Department: 42 - APPLIED MECHANICS
|
Teaching language: English
| Course module |
|
Credit distribution |
|
Examination dates |
|
Sp1 |
Sp2 |
Sp3 |
Sp4 |
|
No Sp |
| 0198 |
Examination |
5,0 c |
Grading: TH |
|
|
5,0 c
|
|
|
|
|
|
Contact examiner, |
Contact examiner |
In programs
TMASA MECHANICAL ENGINEERING - Applied Mechanics, Year 4 (elective)
TTFYA ENGINEERING PHYSICS, Year 4 (elective)
Examiner:
Professor
Peter Hansbo
Eligibility:
For single subject courses within Chalmers programmes the same eligibility requirements apply, as to the programme(s) that the course is part of.
Course specific prerequisites
MHA 160 Strength of Materials - Advanced course, MHA021 Finite Element Method (or equivalent courses from other universities).
Aim
To give theoretical and practical knowledge about the finite element method as applied to advanced problems containing side conditions, nonlinearities, and time-dependency. An important part of the course deals with the principles of generating self-adaptive grids based on error estimates. MATLAB is used to build finite element codes from scratch.
Content
Repetition: isoparametric mappings, quadrature, mathematical prerequisites. Time dependent problems: vibration problems; heat conduction; implict and explict time-stepping; damping and dispersion; space-time finite elements. Non-linear problems: Newton's method; secant methods and BFGS, application to small strain plasticity. Mixed FEM: Lagrange multipliers;
penalty methods; stabilized methods, application to plate bending and incompressible elasticity. Error estimation and adaptivity: linear and non-linear problems, stationary and time-dependent.
Convective problems: stabilization by use of the streamline diffusion method; application to convection-diffusion problems. Non-conforming finite element methods: application to incompressibility and plate bending.
Organisation
Lectures, computer assignments.
Literature
Lecture notes.
Examination
Computer assignments. Grading system TH.