Course - Numerical Solution of Partial Differential Equations Using Element Methods - TMA4220
TMA4220 - Numerical Solution of Partial Differential Equations Using Element Methods
About
Examination arrangement
Examination arrangement: Aggregate score
Grade: Letter grades
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| Project work | 35/100 | |||
| School exam | 65/100 | 4 hours | C |
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. The grade awarded in the course is based on written school exam (65%) and works (projects) (35%). 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
Retake of examination may be given as an oral examination.
Specific conditions
Compulsory activities from previous semester may be approved by the department.
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 | To |
|---|---|---|---|
| SIF5050 | 7.5 |
Version: 1
Credits:
7.5 SP
Study level: Second degree level
Term no.: 1
Teaching semester: AUTUMN 2022
Language of instruction: English, Norwegian
Location: Trondheim
- Mathematics
- Technological subjects
Department with academic responsibility
Department of Mathematical Sciences
Examination
Examination arrangement: Aggregate score
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Autumn ORD School exam 65/100 C 2022-12-21 15:00 INSPERA
-
Room Building Number of candidates - Autumn ORD Project work 35/100 INSPERA
-
Room Building Number of candidates - Summer UTS School exam 65/100 C INSPERA
-
Room Building Number of candidates
- * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"