LS00EN04 Finite Element Methods (5 cr)
Cooperation network course
Network: Education network on Inverse Problems
This course is offered through the Network for Inverse Problems. These studies are available for the following degree students:
- Bachelor's Degree Programme in Mathematics
- Bachelor's Degree Programme in Mathematics (Subject Teacher)
- Master’s Degree Programme in Mathematics
- Master's degree Programme in Mathematics (Subject Teacher)
- Doctoral Degree Programme in Mathematics and Statistics
Description
Modeling based on partial differential equations (PDE), basics of PDEs, about function spaces (Sobolev space and weak derivative), variational problem, FEM approximation, variational problem of elliptic PDE, boundness and coercitivity, FEM approximation of elliptic PDE, FEM approximation of parabolic and hyberbolic PDEs, FEM computations in one two and three dimensions, FEM in practical applications.
Learning outcomes
After the course, the student - knows the basics of partial differential equations (PDE) - understands the basic theory of finite element method - understands the concept of weak derivative and basics of Sobolev space - recognizes bilinear forms - can derive variational forms for elliptic, parabolic and hyperbolic PDEs - can discretize variational forms using FEM - is able to solve the matrix equations and systems of differential equations related to FEM problems - can write computer code for solving one, two and three dimensional FEM problems - is able to apply FEM approaches to practical modelling problems The course develops the following generic skills: critical thinking, identification and development of one's own expertise, interaction and communication.
Additional information
The course will be held only every second academic year. You can see the course implementations in Study guide, under “Course Units” or “Show past courses”. This course is intended for the following student groups: - Undergraduate students in Technical Physics (MSc) - Undergraduate students in Applied Physics (MSc)