Course - Numerical Solution of Partial Differential Equations Using Element Methods - TMA4220
Numerical Solution of Partial Differential Equations Using Element Methods
About
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. Some of the exercises will be voluntary, others compulsory. Portfolio assessment is the basis for the grade awarded in the course. This portfolio comprises a written final examination (65%) and compulsory exercises (35%). The results for the constituent parts are to be given in %-points, while the grade for the whole portfolio (course grade) is given by the letter grading system. Retake of examination may be given as an oral examination. All the lecture notes are in English. The lectures will be given in English if the course is attended by students who don't master a Scandinavian language. If the course is taught in English, the exam will be given only in English. Students are free to choose Norwegian or English for written assessments.
Compulsory assignments
- Exercises
Further on evaluation
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 2020
Arbeider
Oral examination (1)
- Other comments
- 1) Merk at eksamensform er endret som et smittevernstiltak i den pågående koronasituasjonen. Please note that the exam form has changed as a preventive measure in the ongoing corona situation.