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Syllabus for

Academic year
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.


Page manager Published: Thu 03 Nov 2022.