Finite Element Methods and Domain Decomposition

Postgraduate course

Course description

Objectives and Content

The course considers the theory for finite element method to discrete partial differential equations, especially elliptical, and also solution techniques for the discrete equation system that become result. Domain decomposition as solving technique will become subject to special attention.

Learning Outcomes

After completing the course, students will be able to:

  • Formulate typical boundary value problems for elliptic equations in variational form that satisfies the conditions of the Lax-Milgram theorem.
  • Discretize boundary value problems using the Galerkin approximation with the classic finite element methods.
  • Develop simple programs in MATLAB to form systems of linear equations that approximates elliptic equations with finite element methods.
  • Apply the theory of Hilbert spaces and polynomial approximation to prove the convergence of the finite element method.
  • Use the multigrid method domain decomposition techniques for solving large systems of linear equations.

Semester of Instruction

Required Previous Knowledge
Recommended Previous Knowledge
MAT260 Scientific Computing 2 and MAT232 Functional Analysis
Credit Reduction due to Course Overlap
INF360: 10 SP
Compulsory Assignments and Attendance
Forms of Assessment
Oral exam.
Grading Scale
The grading scale used is A to F. Grade A is the highest passing grade in the grading scale, grade F is a fail.