Course - Numerical Solution of Partial Differential Equations Using Element Methods - TMA4220
Numerical Solution of Partial Differential Equations Using Element Methods
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About the course
Course content
The course gives an introduction to finite element methods for the numerical solution of partial differential equations. Topics include: Minimization principle, weak formulation, boundary conditions, quadrature, error analysis, stability, convergence, implementation, direct and iterative solution of the resulting algebraic systems of equations, and applications to the Poisson equation and convection-diffusion equation.
Learning outcome
1) Knowledge: The students have knowledge about the strong and weak formulations of linear partial differential equations. The student know the mathematical foundation for the finite element method.
2) Skills: The students are able to formulate and implement FEM applied to realistic problems, in 1, 2 and 3 dimensions, including time dependent problems. They are also able to evaluate the numerical result. 3. General competence: The students gain experience with written and oral presentation of scientific problems and results.
Learning methods and activities
Lectures and exercises. The grade awarded in the course is based on written school exam (75%) and works (projects) (25%).
Students are free to choose Norwegian or English for written assessments.
Further on evaluation
Retake of examination may be given as an oral examination. The retake exam is in August.
In the case that the student receives an F/Fail as a final grade after both ordinary and re-sit exam, then the student must retake the course in its entirety. Submitted work that counts towards the final grade will also have to be retaken. For more information about grading and evaluation, see «Teaching methods and activities».
Recommended previous knowledge
The course is based on TMA4215 Numerical Mathematics and TMA4212 Numerical Solution of Differential Equations by Difference Methods.
Course materials
Will be announced at the start of the course.
Credit reductions
| Course code | Reduction | From |
|---|---|---|
| SIF5050 | 7.5 sp |
Subject areas
- Mathematics
- Technological subjects
Contact information
Course coordinator
Department with academic responsibility
Examination
Examination
Ordinary examination - Autumn 2025
School exam
The specified room can be changed and the final location will be ready no later than 3 days before the exam. You can find your room location on Studentweb.